TOMAS CARABALLO GARRIDO

Categoría
Catedrático de Universidad

Contacto

Teléfono
954557998
Correo electrónico
caraball@us.es

Departamento

Área
Análisis Matemático

Centro

Docencia

Investigación

Grupo de investigación

ANÁLISIS ESTOCÁSTICO DE SISTEMAS DIFERENCIALES (AESDIF)

Proyectos y contratos de investigación

BIFURCATION THEORY FOR NON-AUTONOMOUS DIFFERENTIAL EQUATIONS (JOINT PROYECT - Responsable)
SISTEMAS DINÁMICOS NO AUTÓNOMOS Y ESTOCÁSTICOS (BFM2002-03068 - Responsable)
ECUACIONES EN DERIVADAS PARCIALES DE EVOLUCIÓN NO LINEALES CON ORIGEN EN MECÁNICA Y PROBLEMAS DE CONTROL ASOCIADOS (BFM2000-1317-C02-01 - Investigador/a)
INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC, DYNAMICAL SYSTEMS (NSDS05) (PP2004/01-12 - Responsable)
AYUDA A CONSOLIDACIÓN DEL GRUPO DE INVESTIGACIÓN FQM-314 (2000/FQM-314 - Investigador/a)
AYUDA A LA CONSOLIDACIÓN DEL GRUPO DE INVESTIGACIÓN FQM-314 (2002/FQM314 - Investigador/a)
AYUDA A LA CONSOLIDACIÓN DEL GRUPO DE INVESTIGACIÓN FQM-314 (2003/FQM-314 - Investigador/a)
AYUDA A LA CONSOLIDACIÓN DEL GRUPO DE INVESTIGACIÓN FQM-314 (2004/FQM-314 - Investigador/a)
INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS (NSDS05) (MTM2004-20364-E - Responsable)
ESTUDIO DE LOS SISTEMAS DINÁMICOS NO AUTÓNOMOS Y ESTOCÁSTICOS Y APLICACIONES (MTM2005-01412 - Responsable)
CONFERENCE INTERNATIONAL NSDS05 (ARM/LPS 21515 - Responsable)
INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS (EU.1/AM/AC/RS/CR - Responsable)
MODELIZACIÓN Y RESOLUCIÓN NUMÉRICA DE SISTEMAS NO LINEALES DE LA FÍSICA Y LA INGENIERÍA. APLICACIÓN AL SOFTWARE Y A LA C.A.O. (HF 190) (HF190 - Investigador/a)
ANÁLISIS Y CONTROL DE MODELOS MATEMÁTICOS DE FLUÍDOS (HF230B) (HF 230B - Responsable)
ANÁLISIS MATEMÁTICO Y NUMÉRICO DE CORRIENTES MARINAS O FLUVIALES Y DEL TRANSPORTE DE SEDIMENTOS (HF1999-0077) (HF1999-007 - Investigador/a)
INTERNATIONAL MULTIDISCIPLINARY WORKSHOP ON STOCHASTIC MODELING (MTM2006-28256-E - Responsable)
INTERNATIONAL MULTIDISCIPLINARY WORKSHOP ON STOCHASTIC MODELING (I-MATHEMATICA - Responsable)
INTERNATIONAL CONFERENCE ON DYNAMICAL METHODS AND MATHEMATICAL MODELIZATION (MTM2006-28258-E - Investigador/a)
ECUACIONES EN DERIVADAS PARCIALES DE EVOLUCIÓN NO LINEALES EN MECÁNICA Y PROBLEMAS DE CONTROL ASOCIADOS (BFM2000-1317) (BFM2000-1317 - Investigador/a)
ESTUDIO DE LOS SISTEMAS DINÁMICOS NO AUTÓNOMOS Y ESTOCÁSTICOS, Y APLICACIONES (MTM2008-00088 - Responsable)
INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS, AND MULTIDISCIPLINARY APPLICATIONS (NINGUNO - Responsable)
SISTEMAS DINÁMICOS ESTOCÁSTICOS Y NO AUTÓNOMOS, Y APLICACIONES (P07-FQM-02468 - Responsable)
INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS, AND MULTIDISCIPLINARY Y APPLICATIONS (MTM2008-02340-E - Responsable)
AYUDA SUPLEMENTARIA A GRUPOS DE INVESTIGACION POR EL CUMPLIMIENTO DEL CONTRATO-PROGRAMA ENTRE LA CICE Y LA U.S. ESTUDIO DE LOS SISTEMAS DINAMICOS NO A (2009/00000824 - Responsable)
INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS AND MULTIDISCIPLINARY APPLICATIONS (CSD2006-00032-I - Responsable)
ANÁLISIS CUALITATIVO DE EDPS DE EVOLUCIÓN NO AUTÓNOMAS Y APLICACIONES (HF2008-0039 - Investigador/a)
ECUACIONES EN DERIVADAS PARCIALES DE EVOLUCION NO LINEALES CON ORIGEN EN MECANICA Y PROBLEMAS DE CONTROL ASOCIADOS (PB98-1134 - Investigador/a)
ANALISIS MATEMATICO Y NUMERICO DE CORRIENTES MARINAS O FLUVIALES DEL TRANSPORTE DE SEDIMENTOS (HF1999-0077) (HF1999-0077 - Investigador/a)
SISTEMAS DINÁMICOS NO AUTÓNOMOS Y ESTOCÁSTICOS (HA2001-0075 - Responsable)
LAS ECUACIONES DE NAVIER-STOKES Y SUS VARIANTES Y LOS PROBLEMAS DE CONTROL ASOCIADOS (PB95-1242) (PB95-1242 - Investigador/a)
ECUACIONES EN DERIVADAS PARCIALES DE EVOLUCIÓN NO LINEALES CON ORIGEN EN MECÁNICA Y PROBLEMAS DE CONTROL ASOCIADOS (PB98-1134 - Investigador/a)
LAS ECUACIONES DE NAVIER-STOKES Y SUS VARIANTES Y LOS PROBLEMAS DE CONTROL ASOCIADOS (- - Investigador/a)
PROBLEMAS DIFERENCIALES NO LINEALES Y HOMOGENEIZACION (- - Investigador/a)
MODELIZACIÓN Y RESOLUCIÓN NUMÉRICA DE SISTEMAS NO LINEALES DE LA FÍSICA Y LA INGENIERÍA. APLICACIÓN AL SOFTWARE (HF 88 - Investigador/a)
SISTEMAS DINÁMICOS. APLICACIONES A LAS CIENCIAS DE LA VIDA. (PCI2005-A7-0124 - Investigador/a)
AYUDAS A PROGRAMA DE DOCTORADO DE CALIDAD (- - Investigador/a)
AYUDA A MOVILIDAD DEL PROFESORADO PROGRAMA DE DOCTORADO (- - Investigador/a)
DINAMICA DE MODELOS DETEMINISTAS Y ESTOCASTICOS DE LAS CIENCIAS APLICADAS (PGC2018-096540-B-I00 - Investigador Principal Consolidado)
Deterministic and stochastic dynamics of models of Neuroscience, Epidemiology, Biology and other branches of the Appplied Sciences (US-1254251 - Investigador Principal Consolidado)
Deterministic and stochastic dynamics of models from Neuroscience, Epidemiology, Biology and other branches of Applied Sciences (US-1254251 - Investigador Principal Consolidado)
Sistemas Dinámicos no Autónomos y Estocásticos de las Ciencias Aplicadas (MTM2015-63723-P - Responsable)
Dinámica Fractal de la Consciencia: de la Teoría a la Implementación Clínica (MTM2014-61312-EXP - Investigador/a)
Analisis y Aplicaciones de Sistemas Dinamicos no Autonomos y Estocasticos (P12-FQM-1492 - Investigador/a)
Estudio de los Sistemas Dinámicos no Autónomos y Estocásticos, y Aplicaciones (MTM2011-22411 - Responsable)
Estudio asintótico en tiempo de modelos de EDPs con aplicaciones a la Física, la Biología y otras ciencias - renovación (PHB2010-0002-PC-renovacion - Investigador/a)
Estudio asintótico en tiempo de modelos de EDPs con aplicaciones a la física, la biología y otras ciencias (PHB2010-0002-PC - Investigador/a)
Estudio asintótico en tiempo de modelos de EDPs con aplicaciones a la Física, la Biología y otras ciencias (PHB2010-0002-PC - Investigador/a)

Libros publicados

Caraballo-Garrido, Tomás;Han, Xiaoying:
Applied Nonautonomous and Random Dynamical Systems. Springer. 2016. 978-3-319-49246-9

Capítulos en Libros

Asai, Yusuke;Caraballo-Garrido, Tomás;Han, Xiaoying;Kloeden-, Peter Eris:
A random model for immune response to virus in fluctuating environments. Pág. 211-225. Springer. Springer. 2016.
Caraballo-Garrido, Tomás;Real-Anguas, José;Valero-Cuadra, José:
Pullback attractors for non-autonomous dynamical systems. Springer Proceedings in Mathematics & Statistics. Springer Proceedings in Mathematics & Statistics. 2016.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Felipe Rivero:
A Nonclassical and Nonautonomous Diffusion Equation Containing Infinite Delays . Pág. 385-399. En: 164 . Springer Proceedings in Mathematics & Statistics. Springer Proceedings in Mathematics & Statistics. 2016.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;López-de-la-Cruz, Javier:
Some aspects concerning the dynamics of stochastic chemostats. Pág. 227-245. En: 69. Springer. Springer. 2016.
Caraballo-Garrido, Tomás;Han, Xiaoying;Kloeden-, Peter Eris;Rapaport, Alain:
Dynamics of nonautonomous chemostat models. Pág. 103-119. 2015.
Caraballo-Garrido, Tomás;Morillas, F.;Valero-Cuadra, José:
Pullback attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Pág. 341-349. Springer Proceedings in Mathematics & Statistics. Springer Proceedings in Mathematics & Statistics. 2013.
Anguiano, María;Caraballo-Garrido, Tomás;Real-Anguas, José;Valero-Cuadra, José:
Pullback attractors for nonautonomous dynamical systems. Pág. 217-225. SPRINGER-VERLAG NEW YORK. SPRINGER-VERLAG NEW YORK. 2013.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris:
STABILIZATION OF EVOLUTION EQUATIONS BY NOISE. Pág. 43-66. WORLD SCIENTIFIC. WORLD SCIENTIFIC. 2010.
Kloeden-, Peter Eris;Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Real-Anguas, José;Valero-Cuadra, José:
THE THREE-DIMENSIONAL GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS. Pág. 11-22. CAMBRIDGE SCIENTIFIC PUBLISHERS. CAMBRIDGE SCIENTIFIC PUBLISHERS. 2009.
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-, Jose:
ATTRACTORS OF DELAYED DIFFERENTIAL EQUATIONS WITHOUT UNIQUENESS. Pág. 1042-1044. En: 1. WORLD SCIENTIFIC. WORLD SCIENTIFIC. 2005.
Caraballo-Garrido, Tomás;Real-Anguas, José:
ASYMPTOTIC BEHAVIOUR AND ATTRACTORS OF 2D-NAVIER-STOKES MODELS WITH DELAYS. Pág. 827-832. WORLD SCIENTIFIC. WORLD SCIENTIFIC. 2005.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
ON THE STABILITY OF STATIONARY SOLUTIONS OF STOCHASTIC EVOLUTION EQUATIONS WITH DELAYS. Pág. 747-749. WORLD SCIENTIFIC. WORLD SCIENTIFIC. 2005.
Caraballo-Garrido, Tomás:
THE LONG-TIME BEHAVIOUR OF STOCHASTIC 2D-NAVIER-STOKES EQUATIONS. Pág. 70-83. World Scientific Publishing. World Scientific Publishing. 2003.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
STABILITY OF NONLINEAR FUNCTIONAL STOCHASTIC EVOLUTION EQUATIONS OF SECOND ORDER IN TIME. Pág. 125-139. DESCONOCIDA. DESCONOCIDA. 2003.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
ON THE THEORY OF RANDOM ATTRACTORS AND SOME OPEN PROBLEMS. Pág. 89-104. En: 227. MARCEL DEKKER INC. MARCEL DEKKER INC. 2002.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
CONVERGENCIA DE ATRACTORES EN LAS ECUACIONES DE NAVIER-STOKES CON PERTURBACIONES ALEATORIAS. Pág. 61-74. SECRETARIADO DE PUBLICACINES UNIVERSIDAD DE SEVILLA. SECRETARIADO DE PUBLICACINES UNIVERSIDAD DE SEVILLA. 1997.
Caraballo-Garrido, Tomás;Real-Anguas, José:
EDP WITH STOCHASTIC PERTURBATIONS: EXISTENCE, UNIQUENESS AND STABILITY OF SOLUTIONS. Pág. 203-208. SERVICIO DE PUBLICACIONES DE LA UNIVERSIDAD DE OVIEDO. SERVICIO DE PUBLICACIONES DE LA UNIVERSIDAD DE OVIEDO. 1992.
Caraballo-Garrido, Tomás:
ALGUNOS RESULTADOS SOBRE ESTABILIDAD PARA UNA CLASE DE EDP ESTOCÁSTICAS. Pág. 167-171. SERVICIOS DE PUBLICACIONES DE LA UNIVERSIDAD DE MÁLAGA.. SERVICIOS DE PUBLICACIONES DE LA UNIVERSIDAD DE MÁLAGA.. 1990.
Caraballo-Garrido, Tomás:
SOBRE LA ESTABILIDAD DEL SEGUNDO MOMENTO PARA LA ECUACIÓN LINEAL DE ITO CON PERTURBACIONES. Pág. 285-289. En: I. SECRETARIADO DE PUBLICACIONES DE LA UNIVERSIDAD DE LA LAGUNA. SECRETARIADO DE PUBLICACIONES DE LA UNIVERSIDAD DE LA LAGUNA. 1990.
Caraballo-Garrido, Tomás:
ALGUNOS RESULTADOS DE ESTABILIDAD PARA ECUACIONES EN DERIVADAS PARCIALES ESTOCÁSTICAS CON RETARDO. Pág. 233-238. SECRETARIADO DE PUBLICACIONES UNIVERSIDAD DE SEVILLA. SECRETARIADO DE PUBLICACIONES UNIVERSIDAD DE SEVILLA. 1990.

Asistencia a congresos

Caraballo-Garrido, Tomás:
Stochastic 2D Navier-Stokes equations with infinite delay. Ponencia en Congreso. XVIII Workshop on Partial Differential Equations 2019. PETROPOLIS, BRASIL. 2019
Caraballo-Garrido, Tomás:
Recents results on stochastic 2D Navier-Stokes equations with unbounded delay. Ponencia en Congreso. Stochastic Systems and Control The 38th Chinese Control Conference. Guangzhou, China. 2019
Caraballo-Garrido, Tomás;Xu, Jiaohui:
Well-posedness and asymptotic behavior of fractional impulsive stochastic differential equations with unbounded delay. Sesión no plenaria en Congreso. International Conference on Differential & Difference Equations and Applications. Lisboa, Portugal. 2019
Caraballo-Garrido, Tomás;Xu, Jiaohui:
Dynamics of impulsive fractional stochastic evolution equations with unbounded delay . Comunicación en congreso. 11th Colloquium on the Qualitative Theory of Differential Equations. Szeged. 2019
Caraballo-Garrido, Tomás:
Long time behavior of fractional impulsive stochastic differential equations with unbounded delay. Conferencia Congreso no publicada. International Conference on Elliptic and Parabolic Problems. Gaeta (Italia). 2019
Caraballo-Garrido, Tomás:
Random versus stochastic modeling in the Applied Sciences. Sesión plenaria en Congreso. XI Summer Workshop in Mathematics. Brasilia, Brasil. 2019
Caraballo-Garrido, Tomás:
Dynamics of a stochastic SIRI epidemic model with relapse and media coverage. Sesión plenaria en Congreso. Summer Meeting on Differential Equations, Chapter 2019. ICMC, Sao Carlos (Sao Paulo, Brasil). 2019
Caraballo-Garrido, Tomás:
Recent results on stochastic 2D Navier-Stokes equations with infinite delay. Sesión no plenaria en Congreso. 2nd Joint Meeting Sapin-Brasil in Mathematics. - CÁDIZ. 2018
Caraballo-Garrido, Tomás:
Random and stochastic models in Epidemiology. Sesión plenaria en Congreso. XII Congreso GAFEVOL. Santiago, Chile. 2018
Caraballo-Garrido, Tomás:
Random versus stochastic modeling in Epidemiology. Sesión plenaria en Congreso. International Conference on Nonlinear Analysis and Boundary Value Problems. - Santiago de Compostela (A Coruña), España. 2018
Caraballo-Garrido, Tomás:
Stochastic 2D Navier-Stokes equations with infinite delay. Sesión plenaria en Congreso. Veszprèm Conference on Differential and Difference Equations and Applications. Veszprèm. 2018
Caraballo-Garrido, Tomás:
Asymptotic behavior of Stochastic 2D Navier-Stokes equations with infinite delay. Sesión no plenaria en Congreso. SIMAI Conference. Roma. 2018
Caraballo-Garrido, Tomás:
Stochastic 2D Navier-Stokes equations with infinite delay: existence, uniqueness and stability of solutions. Sesión plenaria en Congreso. Special Materials and Complex Systems . GARGNANO (BS), ITALIA. 2018
Caraballo-Garrido, Tomás:
Stochastic 2D Navier-Stokes equations with infinite delay: existence, uniqueness and stability of solutions. Sesión plenaria en Congreso. ICMC Summer Meeting on Differential Equations, Chapter 2018. São Carlos, Brasil. 2018
Márquez-Durán, Antonio Miguel;Caraballo-Garrido, Tomás:
Asymptotic behaviour for functional three-dimensional Navier-Stokes-Voigt equations . Comunicación en congreso. 6th International Eurasian Conference on Mathematical Sciences and Applications . BUDAPEST, HUNGRÍA. 2017
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Robustness of time-dependent attractors in $H^1$-norm for nonlocal reaction-diffusion equations. Sesión plenaria en Congreso. VII International Simposium of Applied Mathematics. Lima, - Lima, Perú. 2017
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
On a parameterized family of nonlocal reaction-diffusion equations without uniqueness, attractors and robustness. Sesión no plenaria en Congreso. International Conference on Differential & Difference Equations and Applications ICDDEA 2017. Amadora, Portugal. 2017
Caraballo-Garrido, Tomás:
Stability of stochastic delay evolution equations. Conferencias impartidas en Congreso. First Joint Meeting Brazil-Italy in Mathematics. Rio de Janeiro, Brasil. 2016
Caraballo-Garrido, Tomás:
Random versus stochastic lattice dynamical systems. Conferencias impartidas en Congreso. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Orlando, ESTADOS UNIDOS DE AMERICA. 2016
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Robustness of Attractors for a Family of Parabolic Equations with Nonlocal Diffusion. Comunicación en congreso. 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Orlando, EEUU. 2016
Caraballo-Garrido, Tomás:
Navier-Stokes equations with delays: existence of solutions and their asymptotic behavior. Conferencias impartidas en Congreso. International Conference on Recent Trends in Evolution Equations. Auburn, Alabama, Estados Unidos. 2016
Caraballo-Garrido, Tomás:
An introduction to the theory of pullback attractors for random and non-autonomous dynamical systems and applications. Conferencias impartidas en Congreso. Seminar of the Felix Klein Center for Mathematics. KAISERSLAUTEM, GERMANY. 2016
Caraballo-Garrido, Tomás:
Pullback attractors for random and non-autonomous dynamical systems: an introduction with applications. Conferencias impartidas en Congreso. Seminar of the Politecnico di Milano. Milán, Italia. 2016
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Nonlocal reaction-diffusion equations without uniqueness. Comunicación en congreso. ICMC Summer Meeting on Differential Equations 2016 Chapter. . 2016
Caraballo-Garrido, Tomás:
Random dynamical systems generated by lattices perturbed by additive or multiplicative noise . Conferencias impartidas en Congreso. ICMC-Summer Meeting on Differential Equations, Chapter 2016. São Carlos, São Paulo, Brasil. 2016
Caraballo-Garrido, Tomás:
Random dynamical systems generated by stochastic lattices perturbed by additive or multiplicative noise. Conferencias impartidas en Congreso. International Workshop on Nonautonomous Dynamics and Applications. Valladolid, España. 2015
Caraballo-Garrido, Tomás:
Pullback attractors for random and non-autonomous dynamical systems: an introduction with applications. Conferencias impartidas en Congreso. Colloquium UofR Department of Mathematics and Statistics. University of Regina, Canada. 2015
Caraballo-Garrido, Tomás:
Stability of equilibria and existence of pullback attractors for delay 2D Navier-Stokes equations. Conferencias impartidas en Congreso. New Trends in Nonlinear Elliptic Equations (15w5004). BANFF, ALBERTA, CANADA. 2015
Caraballo-Garrido, Tomás:
Long time behaviour of delay 2D Navier-Stokes equations . Conferencias impartidas en Congreso. 10th Colloquium on the Qualitative Theory of Differential Equations. Szeged, Hungría. 2015
Caraballo-Garrido, Tomás:
Random dynamical systems generated by stochastic lattices. Conferencias impartidas en Congreso. Equadiff 2015. - Lyon, Francia. 2015
Caraballo-Garrido, Tomás:
Asymptotic behavior of a reaction-diffusion equation perturbed by multiplicative noise. Conferencias impartidas en Congreso. 5th Annual International Worshop on Model Reduction in Reacting Flows. Spreewald, Lübbenau, Alemania. 2015
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Non-autonomous nonlocal parabolic equations. Comunicación en congreso. THE XXIV CONGRESS ON DIFFERENTIAL EQUATIONS AND APPLICATIONS/ XIV CONGRESS ON APPLIED MATHEMATICS. - CÁDIZ, - CÁDIZ, CADIZ, CAMPUS DE PUERTO REAL, UNIVERSIDAD DE CÁDIZ, ESPAÑA, CAMPUS DE PUERTO REAL UNIVERSIDAD DE CÁDIZ, ESPAÑA. 2015
Caraballo-Garrido, Tomás:
Pullback attractors for random and non-autonomous dynamical systems: an introduction with applications. Conferencias impartidas en Congreso. MODEMIC Seminar. Universidad de Montpellier, Francia. 2015
Caraballo-Garrido, Tomás:
Local and global stability of 2D Navier-Stokes equations with delays. Conferencias impartidas en Congreso. International Conference on on Differential & Difference Equations and Applications 2015. Amadora, Lisboa, Portugal. 2015
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Asymptotic behaviour of a nonlocal parabolic equation. Comunicación en congreso. An International Conference on Nonlinear Dynamics and Complexity. La Manga (España). 2015
Caraballo-Garrido, Tomás:
Dynamics of Random and Non-autonomous Chemostats. Conferencias impartidas en Congreso. An International Conference on Nonlinear Dynamics and Complexity. La Manga del Mar Menor, Murcia. 2015
Caraballo-Garrido, Tomás:
Stability of solutions for Navier-Stokes equations with delays. Conferencias impartidas en Congreso. IInternational Conference on Global Dynamics of Evolutionary Equations. University of Warsaw, Polonia. 2015
Caraballo-Garrido, Tomás:
Asymptotic behaviour of solutions to Navier-Stokes equations with delays. Conferencias impartidas en Congreso. International Workshop on Control Theory and Related Topics. Politecnico di Milano MILAN (ITALIA). 2015
Caraballo-Garrido, Tomás:
Random and Non-autonomous Dynamics of Chemostats. Conferencias impartidas en Congreso. ICMC-Summer Meeting on Differential Equations, chapter 2015. ICMC, Sao Carlos, SP, Brasil. 2015
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Pullback attractors for a nonlocal PDE. Comunicación en congreso. ICMC Summer Meeting on Differential Equations - 2015 Chapter. SÃO CARLOS, BRASIL. 2015
Caraballo-Garrido, Tomás:
Pullback attractors for random and non-autonomous dynamical systems: an introduction with applications. Conferencias impartidas en Congreso. I-Math Seminar Institut für Mathematik. Institut für Mathematik, Universität Zürich,(SUIZA). 2015
Caraballo-Garrido, Tomás:
Dynamics of Random and non-autonomous chemostasts. Conferencias impartidas en Congreso. Kolloquium zur Stochastik. Jena, Alemania. 2014
Caraballo-Garrido, Tomás:
Chemostats with random inputs. Conferencias impartidas en Congreso. Conference EASC 2014, SDEDE 2014 . Homburg, Alemania. 2014
Caraballo-Garrido, Tomás:
Random and non-autonomous dynamics of chemostasts. Conferencias impartidas en Congreso. Colloquium Auburn University COSAM. Auburn, Alabama, USA. 2014
Caraballo-Garrido, Tomás:
Asymptotic behaviour of dissipative lattice dynamical systems with delays. Conferencias impartidas en Congreso. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications. . 2014
Caraballo-Garrido, Tomás:
Chemostats with random inputs. Conferencias impartidas en Congreso. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications. . 2014
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
On a heat equation with non-local diffusion. Sesión no plenaria en Congreso. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications. ICMAT, MADRID, ESPAÑA.. 2014
Caraballo-Garrido, Tomás:
Stability of stochastic delay PDEs via Lyapunov's functionals. Conferencias impartidas en Congreso. International Conference on Dynamical Systems and Applications. . 2014
Caraballo-Garrido, Tomás:
Random dynamics of lattice systems perturbed by noise. Conferencias impartidas en Congreso. Conference on Random Dynamics and Stochastic Numerics . Mannheim, Alemania. 2014
Caraballo-Garrido, Tomás:
Stability of stochastic delay evolution equations. Conferencias impartidas en Congreso. Conference on Partial Differential Equations. Abadía de Novacella, Italia. 2014
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Long-time behaviour of nonlocal Partial Differential Equations. Comunicación en congreso. 8th European Conference on Elliptic and Parabolic Problems. Gaeta (Italia). 2014
Caraballo-Garrido, Tomás:
Recent results on stability of stochastic delay evolution equations. Conferencias impartidas en Congreso. ICMC Summer Meeting Sao Carlos, Chapter 2014. . 2014
Caraballo-Garrido, Tomás:
Recent results on stability of delay evolution equations with stochastic perturbations. Conferencias impartidas en Congreso. Workshop INFINITE DIMENSIONAL STOCHASTIC SYSTEMS: THEORY AND APPLICATIONS. Wittenberg, Alemania. 2014
Caraballo-Garrido, Tomás:
Deterministic versus random dynamics. Conferencias impartidas en Congreso. ICMAT Seminar Applied Probability and Statistics . ICMAT-UAM (Madrid). 2014
Caraballo-Garrido, Tomás:
Random attractors for stochastic lattice systems without uniqueness of solutions. Ponencia en Congreso. ICMC Summer Meeting on Differential Equations, 2012 Chapter. . 2012
Caraballo-Garrido, Tomás:
RANDOM ATTRACTORS FOR STOCHASTIC LATTICE SYSTEMS WITH NON-LIPSCHITZ NON-LINEARITIES. Comunicación en congreso. INTERNATIONAL CONFERENCE ON DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS () (.2011.PONTA DELGADA, AZORES, PORTUGAL). PONTA DELGADA, AZORES, PORTUGAL. 2011
Caraballo-Garrido, Tomás:
GLOBAL VS RANDOM ATTRACTORS: EFFECTS OF NOISE ON DYNAMICAL SYSTEMS. Ponencia en Congreso. Summer Meeting on Differential Equations 2011. SAO CARLOS, BRASIL. 2011
Caraballo-Garrido, Tomás:
GLOBAL VS RANDOM ATTRACTORS: EFFECTS OF NOISE ON DYNAMICAL SYSTEMS. Comunicación en congreso. Congreso de la RSME. . 2011
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
ON PULLBACK ATTRACTORS CONTINUITY.. Comunicación en congreso. ICMC Summer Meeting on Differential Equations - Chapter 2011. SAO CARLOS, BRASIL. 2011
Caraballo-Garrido, Tomás:
Introducción a la teoría de atractores de sistemas dinámicos autónomos y no autónomos. Conferencias impartidas en Congreso. . . 2011
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
PULLBACK ATTRACTORS AND PDEs. Comunicación en congreso. The 8th Aims International Conference on Dynamical Systems, Equations and Aplications. DESDREN. ALEMANIA. 2010
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
FORWARD AND PULLBACK ATTRACTION FOR NONAUTONOMOUS DYNAMICAL SYSTEMS.. Comunicación en congreso. NO LINEAL () (.2010.CARTAGENA, ESPAÑA). CARTAGENA, ESPAÑA. 2010
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
EVOLUTION PROCESSES: RESULTS AND APPLICATIONS FOR PULLBACK ATTRACTORS.. Comunicación en congreso. EMERGING TOPICS IN DYNAMICAL SYSTEMS AND PARTIAL DIFFERENTIAL EQUATIONS () (.2010.BARCELONA). . 2010
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
EVOLUTION PROCESSES: RESULTS AND APPLICATIONS FOR PULLBACK ATTRACTORS.. Ponencia en Congreso. YOUNG RESEARCHERS IN MATHEMATICS () (.2010.CAMBRIDGE, UK). CAMBRIDGE, UK. 2010
Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
EXISTENCIA Y ESTRUCTURA DEL ATRACTOR PULLBACK EN UNA ECUACIÓN DE ONDAS NO AUTÓNOMA. Comunicación en congreso. XXI CEDYA / XI CMA. CIUDAD REAL (ESPAÑA). 2009
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
EXISTENCIA Y ESTRUCTURA DEL ATRACTOR PULLBACK EN UNA ECUACIÓN DE ONDAS NO AUTÓNOMA. Comunicación en congreso. XXI CEDYA / XI CMA. CIUDAD REAL (ESPAÑA). 2009
Felipe Rivero;Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Carvalho-, Alexandre Nolasco:
ON THE STRUCTURE OF THE PULLBACK ATTRACTOR FOR A NONAUTONOMOUS DAMPED WAVE EQUATION.. Comunicación en congreso. FIRST WINTER SCHOOL AT IMDEA ON PDE'S AND INEQUALITIES (1) (1.2009.MADRID). . 2009
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Marín-Rubio, Pedro:
APPROXIMATION AND UPPER SEMICONTINUITY ON ATTRACTORS FOR DELAY DIFFERENTIAL EQUATIONS. Comunicación en congreso. INTERNATIONAL CONFERENCE ON DYNAMICAL METHODS AND MATHEMATICAL MODELLING 2007 () (.2007.VALLADOLID, ESPAÑA). VALLADOLID, ESPAÑA. 2007
Caraballo-Garrido, Tomás;Chueshov-,Igor;Marín-Rubio, Pedro;Real-Anguas, José:
EXISTENCE AND ASYMPTOTIC BEHAVIOUR FOR STOCHASTIC HEAT EQUATIONS WITH MULTIPLICATIVE NOISE IN MATERIALS WITH MEMORY. Comunicación en congreso. INTERNATIONAL MULTIDISCIPLINARY WORKSHOP ON STOCHASTIC MODELING 2007 () (.2007.UNIVERSIDAD DE SEVILLA). UNIVERSIDAD DE SEVILLA. 2007
Caraballo-Garrido, Tomás;Real-Anguas, José;Taniguchi-,Takeshi:
THE STABILITY OF NEUTRAL STOCHASTIC DELAY PARTIAL DIFFERENTIAL EQUATIONS. Comunicación en congreso. INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS () (.2005.SEVILLA, ESPAÑA). Santander (ESPAÑA). 2005
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-, Jose:
ON THE GAP BETWEEN AUTONOMOUS AND NON-AUTONOMOUS DYNAMICAL SYSTEMS GENERATED BY INFINITE DELAY DIFFERENTIAL EQUATIONS FOR THE STUDY OF THEIR ASYMPTOTI. Comunicación en congreso. INTERNATIONAL CONFERENCE ON NON-AUTONOMOUS AND STOCHASTIC DYNAMICAL SYSTEMS () (.2005.SEVILLA, ESPAÑA). Santander (ESPAÑA). 2005
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
SOLUCIONES ESTACIONARIAS EXPONENCIALMENTE ESTABLES DE ECUACIONES DE EVOLUCIÓN ESTOCÁSTICAS CON RETARDOS. Comunicación en congreso. XIX CEDYA / IX CMA () (.2005.LEGANÉS (MADRID)). LEGANÉS (MADRID). 2005
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Real-Anguas, José:
ESTABILIZACION DEL MODELO ALPHA-NAVIER-STOKES 3D EN UN DOMINIO ACOTADO MEDIANTE UN RUIDO DE TIPO ITÔ UNIDIMENSIONAL. Comunicación en congreso. XIX CEDYA / IX CMA () (.2005.LEGANÉS (MADRID)). LEGANÉS (MADRID). 2005
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-, Jose:
COMPORTAMIENTO ASINTÓTICO DE ALGUNAS ECUACIONES DIFERENCIALES CON RETARDOS INFINITOS. Comunicación en congreso. XIX CEDYA / IX CMA () (.2005.LEGANÉS (MADRID)). LEGANÉS (MADRID). 2005
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
EXPONENTIAL STABILITY OF STATIONARY SOLUTIONS FOR FUNCTIONAL STOCHASTIC EVOLUTION EQUATIONS. Comunicación en congreso. 6TH WORLD CONGRESS OF THE BERNOUILLI SOCIETY FOR MATHEMATICAL STATISTICS AND PROBABILITY, 67TH ANNUAL MEETING OF THE INSTITUTE OF THE MATHEMATICAL ST. . 2004
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
ATRACTORES ALEATORIOS DE ECUACIONES EN DERIVADAS PARCIALES ESTOCÁSTICAS CON RETARDOS. Comunicación en congreso. NOLINEAL 2004 (.2004.TOLEDO). TOLEDO. 2004
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Real-Anguas, José:
ATRACTORES PARA UNA ECUACIÓN SENO-GORDON CON RETARDO FINITO. Comunicación en congreso. NOLINEAL 2004 (.2004.TOLEDO). TOLEDO. 2004
Caraballo-Garrido, Tomás:
ATTRACTORS FOR NON-AUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS. Ponencia en Congreso. FOUNDATIONS OF NON-AUTONOMOUS DYNAMICAL SYSTEMS (.2003.FRIEDRICHSDORF (ALEMANIA)). FRIEDRICHSDORF (ALEMANIA). 2003
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-, Jose:
ATRACTORES DE ECUACIONES DIFERENCIALES CON RETARDO SIN UNICIDAD. Comunicación en congreso. XVIII CEDYA - VIII CMA (18.2003.TARRAGONA (ESPAÑA)). TARRAGONA (ESPAÑA). 2003
Caraballo-Garrido, Tomás;Crauel-,Hans;Langa-Rosado, José Antonio;Robinson-, James Cooper:
BIFURCATION AND STABILIZATION PHENOMENA FOR A STOCHASTIC CHAFEE-INFANTE EQUATION. Comunicación en congreso. CONGRESSO NACIONAL DE MATEMÁTICA APLICADA E COMPUTACIONAL (26) (26.2003.SAO JOSE DO RIO PRETO, BRASIL). SAO JOSE DO RIO PRETO, BRASIL. 2003
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
ON THE STABILITY OF STATIONARY SOLUTIONS OF STOCHASTIC EVOLUTIONS EQUATIONS WITH DELAYS. Comunicación en congreso. EQUADIFF 2003 (11.2003.HASSELT (BÉLGICA)). HASSELT (BÉLGICA). 2003
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-, Jose:
ATTRACTORS OF DELAY DIFFERENTIAL EQUATIONS WITHOUT UNIQUENESS. Comunicación en congreso. EQUADIFF 2003 (11.2003.HASSELT (BÉLGICA)). HASSELT (BÉLGICA). 2003
Caraballo-Garrido, Tomás;Real-Anguas, José:
ASYMPTOTIC BEHAVIOUR AND ATTRACTORS OF 2D-NAVIER-STOKES MODELS WITH DELAYS. Comunicación en congreso. EQUADIFF 2003 (11.2003.HASSELT (BÉLGICA)). HASSELT (BÉLGICA). 2003
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
EFECTOS DEL RUIDO EN LA ESTABILIZACIÓN DE SISTEMAS NO LINEALES. Comunicación en congreso. NO LINEAL 2002. CAMPUS UNIVERSITARIO DE CUENCA. 2002
Caraballo-Garrido, Tomás:
THE EFFECTS PRODUCED BY RANDOM TERMS IN THE LONG-TIME BEHAVIOUR OF DYNAMICAL SYSTEMS. Comunicación en congreso. MINIWORKSHOP: DYNAMICS AND APPLICATIONS OF STOCHASTIC PDE (.2002.OBERWOLFACH, ALEMANIA). OBERWOLFACH, ALEMANIA. 2002
Caraballo-Garrido, Tomás:
PULLBACK ATTRACTORS FOR DYNAMICAL SYSTEMS WITH DELAYS. Comunicación en congreso. DYNAMICAL METHODS FOR DIFFERENTIAL EQUATIONS (.2002.VALLADOLID, ESPAÑA). VALLADOLID, ESPAÑA. 2002
Caraballo-Garrido, Tomás:
THE EXPONENTIAL BEHAVIOUR OF STOCHASTIC NAVIER-STOKES EQUATIONS. Comunicación en congreso. PROBABILISTIC METHODS IN FLUIDS (.2002.SWANSEA. REINO UNIDO). SWANSEA. REINO UNIDO. 2002
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
EXPONENTES DE LYAPUNOV GENERALIZADOS PARA SISTEMAS DIFERENCIALES CON RETARDOS. Comunicación en congreso. CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES (17.2001.SALAMANCA, ESPAÑA). SALAMANCA, ESPAÑA. 2001
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-, Jose:
ATRACTORES GLOBALES PARA INCLUSIONES DIFERENCIALES ESTOCÁSTICAS. Comunicación en congreso. CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES (17.2001.SALAMANCA, ESPAÑA). SALAMANCA, ESPAÑA. 2001
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-, Jose:
DIMENSION DE LOS ATRACTORES DE ECUACIONES DE REACCION DIFUSION NO AUTONOMAS. Comunicación en congreso. CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES (17.2001.SALAMANCA, ESPAÑA). SALAMANCA, ESPAÑA. 2001
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
ALGUNOS RESULTADOS DE ESTABILIDAD PARA ECUACIONES EN DERIVADAS PARCIALES ESTOCÁSTICAS NO LINEALES. Comunicación en congreso. CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES (17.2001.SALAMANCA, ESPAÑA). SALAMANCA, ESPAÑA. 2001
Langa-Rosado, José Antonio;Caraballo-Garrido, Tomás;Valero-, Jose:
ATTRACTORS OF NONAUTONOMOUS AND STOCHASTIC DIFFERENTIAL EQUATIONS. Comunicación en congreso. EQUADIFF 10. PRAGA, REPUBLICA CHECA. 2001
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-, Jose:
APPROXIMATION OF ATTRACTORS FOR MULTIVALUED RANDOM DYNAMICAL SYSTEMS. Comunicación en congreso. EQUADIFF 10. PRAGA, REPUBLICA CHECA. 2001
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
CONVERGENCIA DE ATRACTORES EN LAS ECUACIONES DE NAVIER-STOKES CON PERTURBACIONES ALEATORIAS. Comunicación en congreso. JOURNEES DÉTUDES COMPARATIVES FRANCO- HISPANO- ITALIANNES (1.2003.BURDEOS, FRANCIA). TORREMOLINOS (ESPAÑA). 1999
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
SOBRE EL EFECTO ESTABILIZADOR DE LOS RUIDOS. Comunicación en congreso. CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES (16) (16.1999.LAS PALMAS DE GRAN CANARIA). LAS PALMAS DE GRAN CANARIA. 1999
Caraballo-Garrido, Tomás:
STABILIZING EFFECTS OF NOISE ON DYNAMICAL SYSTEMS. Ponencia en Congreso. . .
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta:
Nonlocal reaction-diffusion equations without uniqueness. Comunicación en congreso. . .

Artículos publicados

Caraballo-Garrido, Tomás;Uzal, José M. :
Dynamics of Nonautomous Impulsive Multivalued Processes. Set-Valued and Variational Analysis. 2023. Vol: 31. Núm: 1. https://doi.org/10.1007/s11228-023-00667-2.
Caraballo-Garrido, Tomás;Tuan, Nguyen Huy:
New results for convergence problem of fractional diffusion equations when order approach to 1. Differential And Integral Equations. 2023. Vol: 36. Núm: 5-6. Pág. 491-516. 10.57262/die036-0506-491.
Caraballo-Garrido, Tomás;El Fatini, Mohamed;El Khalifi, Mohamed ;Rathinasamy, Anandaraman:
Analysis of a stochastic coronavirus (COVID-19) Lévy jump model with protective measures. Stochastic Analysis and Applications. 2023. Vol: 41. Núm: 1. Pág. 45-59. https://doi.org/10.1080/07362994.2021.1989312.
Belluzi, Maykel Boldrin;Caraballo-Garrido, Tomás; Nascimento, Marcelo José Dias;Schiabel, Karina:
Strong solution for singularly nonautonomous evolution equation with almost sectorial operators. Discrete and Continuous Dynamical Systems. Series A. 2023. Vol: 43. Núm: 1. Pág. 177-208. http://dx.doi.org/10.3934/dcds.2022145.
Yang, Shuang;Caraballo-Garrido, Tomás;Li, Yangrong:
Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay. Communications in Nonlinear Science & Numerical Simulation. 2023. Vol: 118. Núm: 107004. https://doi.org/10.1016/j.cnsns.2022.107004.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali:
Practical Stability with Respect to a Part of the Variables of Stochastic Differential Equations Driven by G-Brownian Motion. Journal of Dynamical and Control Systems. 2023. Vol: 29. Núm: 1. Pág. 1-19. https://doi.org/10.1007/s10883-022-09593-2.
Caraballo-Garrido, Tomás;López-de-la-Cruz, Javier;Rapaport, Alain:
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations. Stochastics and Dynamics. 2022. Vol: 22. Núm: 3. 10.1142/S0219493722400020.
Benhadri, Mimia;Caraballo-Garrido, Tomás:
On the Existence of Positive Periodic Solutions for N-Species Lotka-Volterra Competitive Systems with Distributed Delays and Impulses. Journal of Dynamical and Control Systems. 2022. Vol: 28. Pág. 399-422. https://doi.org/10.1007/s10883-021-09581-y.
Caraballo-Garrido, Tomás:
Preface for the Special Issue in Memory of María J. Garrido-Atienza.. Stochastics and Dynamics. 2022. Vol: 22. Núm: 3. https://doi.org/10.1142/S0219493722020026.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali:
Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate. Electronic Journal On The Qualitative Theory Of Differential Equations. 2022. Vol: 2022. Núm: 60. https://doi.org/10.14232/ejqtde.2022.1.60.
Xu, Jiaohui;Caraballo-Garrido, Tomás:
Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong¿Zakai Approximations. SIAM Journal on Mathematical Analysis. 2022. Vol: 54. Núm: 3. Pág. 2792-2844. https://doi.org/10.1137/21M1412645.
Belluzi, Maykel;Caraballo-Garrido, Tomás;Nascimento, Marcelo J.d.;Schiabel, Karina:
Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators. Journal of Differential Equations. 2022. Vol: 314. Pág. 808-849. https://doi.org/10.1016/j.jde.2022.01.030.
Mchiri, Lassaad;Caraballo-Garrido, Tomás;Rhaima, Mohamed:
Partial asymptotic stability of neutral pantograph stochastic differential equations with Markovian switching. Advances in Continuous and Discrete Models. 2022. Vol: 2022. Núm: 18. https://doi.org/10.1186/s13662-022-03692-x.
Piña, Nicolás;Caraballo-Garrido, Tomás;Porcu, Emilio:
A stochastic fractional Laplace equation driven by colored noise on bounded domain, and its covariance functional. Stochastic Models. 2022. Vol: 38. Núm: 3. Pág. 365-389. https://doi.org/10.1080/15326349.2022.2045205.
Caraballo-Garrido, Tomás;Ngoc, Tran Bao ;Thach, Tran Ngoc;Tuan, Nguyen Huy:
On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion. Stochastics and Dynamics. 2022. Vol: 22. Núm: 2. https://doi.org/10.1142/S0219493721400116.
Liu, Yarong;Wang, Yejuan;Caraballo-Garrido, Tomás:
Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise. SIAM Journal on Mathematical Analysis. 2022. Vol: 54. Núm: 5. Pág. 5629-5661. 10.1137/22M1496876.
Yang, Dandan;Chen, Zhang;Caraballo-Garrido, Tomás:
Dynamics of a globally modified Navier-Stokes model with double delay. Zeitschrift für Angewandte Mathematik und Physik. 2022. Vol: 73. Núm: 216. https://doi.org/10.1007/s00033-022-01850-5.
Wang, Jingyu;Wang, Yejuan;Caraballo-Garrido, Tomás:
Multi-valued random dynamics of stochastic wave equations with infinite delays. Discrete and Continuous Dynamical Systems. Series B. 2022. Vol: 27. Núm: 10. Pág. 6147-6172. doi:10.3934/dcdsb.2021310.
Tuan, Nguyen Huy;Caraballo-Garrido, Tomás;Van, Phan Thi Khanh;Au, Vo Van:
On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. Communications in Nonlinear Science & Numerical Simulation. 2022. Vol: 108. Núm: 106248. https://doi.org/10.1016/j.cnsns.2021.106248.
Caraballo-Garrido, Tomás;Boudaoui, Ahmed;Tayeb, Blouhi:
Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion. Stochastic Analysis and Applications. 2022. Vol: 40. Núm: 1. Pág. 45-62. https://doi.org/10.1080/07362994.2021.1882863.
Yang, Shuang;Li, Yangrong;Caraballo-Garrido, Tomás:
Dynamical stability of random delayed FitzHugh¿Nagumo lattice systems driven by nonlinear Wong¿Zakai noise. Journal of Mathematical Physics. 2022. Vol: 63. Núm: 111512. https://doi.org/10.1063/5.0125383.
Shaikhet, Leonid;Caraballo-Garrido, Tomás:
Stability of delay evolution equations with fading stochastic perturbations. International Journal of Control. 2022. Vol: 95. Núm: 6. Pág. 1515-1521. https://doi.org/10.1080/00207179.2020.1861334.
Benhadri, Mimia;Caraballo-Garrido, Tomás:
New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations. Mathematica Bohemica. 2022. Vol: 147. Núm: 3. Pág. 385-405. 10.21136/MB.2021.0079-20.
Caraballo-Garrido, Tomás;Mchiri, Lassaad;Rhaima, Mohamed:
Ulam¿Hyers¿Rassias stability of neutral stochastic functional differential equations. Stochastics. 2022. Vol: 94. Núm: 6. Pág. 959-971. https://doi.org/10.1080/17442508.2022.2028788.
Xu, Jiaohui;Caraballo-Garrido, Tomás;Valero-Cuadra, José:
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion. Journal of Differential Equations. 2022. Vol: 327. Pág. 414-447. https://doi.org/10.1016/j.jde.2022.04.033.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Carvalho-, Alexandre Nolasco;Oliveira-sousa, Alexandre N.:
Continuity and topological structural stability for nonautonomous random attractors. Stochastics and Dynamics. 2022. Vol: 22. Núm: 7. https://doi.org/10.1142/S021949372240024X.
Abdulrashid, Ismail;Caraballo-Garrido, Tomás;Han, Xiaoying:
Effects of delays in mathematical models of cancer chemotherapy. Pure and Applied Functional Analysis. 2022. Vol: 7. Núm: 4. Pág. 1103-1126.
Caraballo-Garrido, Tomás;Mchiri, Lassaad;Mohsen, Belfeki;Rhaima, Mohamed :
Mean square stability for controlled hybrid neutral stochastic differential equations with infinite delay. Mathematical Methods in the Applied Sciences. 2022. Vol: 45. Pág. 10509-10531. 10.1002/mma.8346.
Zhao, Caidi;Wang, Jintao;Caraballo-Garrido, Tomás:
Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations. Journal of Differential Equations. 2022. Vol: 317. Pág. 474-494. https://doi.org/10.1016/j.jde.2022.02.007.
Wang, Jingyu;Wang, Yejuan;Yang, Lin;Caraballo-Garrido, Tomás:
Random attractors for stochastic delay wave equations on ¿n with linear memory and nonlinear damping. Discrete and Continuous Dynamical Systems. Series S. 2022. Vol: 15. Núm: 10. Pág. 3025-3057. doi:10.3934/dcdss.2021141.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali:
A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov's inequality. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 2022. Vol: 116. Núm: 177. https://doi.org/10.1007/s13398-022-01320-7.
Xu, Jiaohui;Caraballo-Garrido, Tomás:
Well-posedness of stochastic time fractional 2D-Stokes models with finite and infinite delay. Electronic Journal Of Differential Equations. 2022. Vol: 2022. Núm: 86.
Belluzi, Maykel;Caraballo-Garrido, Tomás;Nascimento, Marcelo J.d.;Schiabel, Karina:
Strong solutions for semilinear problems with almost sectorial operators. Journal of Evolution Equations. 2022. Vol: 22. Núm: 10. https://doi.org/10.1007/s00028-022-00785-8.
Xu, Jiaohui;Caraballo-Garrido, Tomás;Valero-Cuadra, José:
Asymptotic behavior of nonlocal partial differential equations with long time memory. Discrete and Continuous Dynamical Systems. Series S. 2022. Vol: 15. Núm: 10. Pág. 3059-3078. doi:10.3934/dcdss.2021140.
Yang, Lin;Wang, Yejuan;Caraballo-Garrido, Tomás:
Regularity of global attractors and exponential attractors for 2D quasi-geostrophic equations with fractional dissipation. Discrete and Continuous Dynamical Systems. Series B. 2022. Vol: 27. Núm: 3. Pág. 1345-1377. doi:10.3934/dcdsb.2021093.
Caraballo-Garrido, Tomás;Mchiri, Lassaad;Mohsen, Belfeki:
¿-stability of hybrid neutral stochastic differential equations with infinite delay. International Journal of Robust and Nonlinear Control. 2022. Vol: 32. Pág. 1973-1989. 10.1002/rnc.5931.
Nguyen, Ahn Tuan;Caraballo-Garrido, Tomás;Tuan, Nguyen Huy:
On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022. Vol: 152. Pág. 989-1031. DOI:10.1017/prm.2021.44.
Rodrigues, Hildebrando M.;Caraballo-Garrido, Tomás;Nakassima, G. K.:
Robustness of Exponential Dichotomy in a Class of Generalised Almost Periodic Linear Differential Equations in Infinite Dimensional Banach Spaces. Journal of Dynamics and Differential Equations. 2022. Vol: 34. Núm: 4. Pág. 2841-2865. https://doi.org/10.1007/s10884-020-09854-3.
Xu, Jiaohui;Zhang, Zhengce;Caraballo-Garrido, Tomás:
Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay. Journal of Dynamics and Differential Equations. 2022. Vol: 34. Pág. 583-603. https://doi.org/10.1007/s10884-019-09809-3.
Caraballo-Garrido, Tomás;Morillas, Francisco;Valero-Cuadra, José:
On a stochastic nonlocal system with discrete diffusion modeling life tables. Stochastics and Dynamics. 2022. Vol: 22. Núm: 7. https://doi.org/10.1142/S0219493722400172.
Liu, Yarong;Wang, Yejuan;Caraballo-Garrido, Tomás:
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fract. Stochastics and Dynamics. 2022. Vol: 22. Núm: 5. 10.1142/S0219493722500228.
Benhadri, Mimia;Caraballo-Garrido, Tomás:
New criteria for global asymptotic stability of linear neutral differential equations by a fixed point approach. Nonlinear Studies. 2022. Vol: 29. Núm: 1. Pág. 269-287.
Caraballo-Garrido, Tomás;Cavaterra, Cecilia:
A 3D isothermal model for nematic liquid crystals with delay terms. Discrete and Continuous Dynamical Systems. Series S. 2022. Vol: 15. Núm: 8. Pág. 2117-2133. doi:10.3934/dcdss.2022097.
Caraballo-Garrido, Tomás:
p th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching. Communications in Nonlinear Science & Numerical Simulation. 2021. Vol: 102. Núm: 105916. https://doi.org/10.1016/j.cnsns.2021.105916.
Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio;Oliveira-sousa, Alexandre N.:
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations. Journal of Mathematical Analysis and Applications. 2021. Vol: 500. Núm: 125134. https://doi.org/10.1016/j.jmaa.2021.125134.
Liang, Tongtong;Wang, Yejuan;Caraballo-Garrido, Tomás:
Stability of Fractionally Dissipative 2D Quasi-geostrophic Equation with Infinite Delay. Journal of Dynamics and Differential Equations. 2021. Vol: 33. Pág. 2047-2074. https://doi.org/10.1007/s10884-020-09883-y.
Caraballo-Garrido, Tomás;Mchiri, Lassaad ; Mohsen, Belfeki;Rhaima, Mohamed :
p th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching. Communications in Nonlinear Science & Numerical Simulation. 2021. Vol: 102. Núm: 105916. https://doi.org/10.1016/j.cnsns.2021.105916.
Bao, Ngoc Tran ;Caraballo-Garrido, Tomás;Tuan, Nguyen Huy ;Zhou, Yong :
Existence and regularity results for terminal value problem for nonlinear fractional wave equations. Nonlinearity. 2021. Vol: 34. Pág. 1448-1502. https://doi.org/10.1088/1361-6544/abc4d9.
Caraballo-Garrido, Tomás;Guo, Boling;Tuan, Nguyen Huy;Wang, Renhai:
Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2021. Vol: 151. Pág. 1700-1730. 10.1017/prm.2020.77.
Zhao, Caidi;Caraballo-Garrido, Tomás;Lukaszewicz, Grzegorz:
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Journal of Differential Equations. 2021. Vol: 281. Pág. 1-32. https://doi.org/10.1016/j.jde.2021.01.039.
Xu, Jiaohui;Zhang, Zhengce;Caraballo-Garrido, Tomás:
Non-autonomous nonlocal partial differential equations with delay and memory. Journal of Differential Equations. 2021. Vol: 270. Pág. 505-546. https://doi.org/10.1016/j.jde.2020.07.037.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali :
New stability criteria for stochastic perturbed singular systems in mean square. Nonlinear Dynamics. 2021. Vol: 105. Pág. 241-256. https://doi.org/10.1007/s11071-021-06620-y.
Wang, Yejuan;Liu, Yarong;Caraballo-Garrido, Tomás:
Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motion. Journal of Evolution Equations. 2021. Vol: 21. Núm: 2. Pág. 1779-1807. https://doi.org/10.1007/s00028-020-00656-0.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali:
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square. Applied Mathematics & Optimization. 2021. Vol: 84. Pág. 2923-2945. https://doi.org/10.1007/s00245-020-09734-8.
Tuan, Nguyen Huy;Caraballo-Garrido, Tomás:
On initial and terminal value problems for fractional nonclassical diffusion equations. Proceedings of the American Mathematical Society. 2021. Vol: 149. Núm: 1. Pág. 143-161. https://doi.org/10.1090/proc/15131.
Netchaoui, Sana;Hammami, Mohamed Ali;Caraballo-Garrido, Tomás:
Pullback exponential attractors for differential equations with delay. Discrete and Continuous Dynamical Systems. Series S. 2021. Vol: 14. Núm: 4. Pág. 1345-1358. doi:10.3934/dcdss.2020367.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali:
Partial stability analysis of stochastic differential equations with a general decay rate. Journal of Engineering Mathematics. 2021. Vol: 130. https://doi.org/10.1007/s10665-021-10164-w.
Bonotto, Everaldo M.;Bortolan, Matheus C.;Caraballo-Garrido, Tomás;Collegari, Rodolfo:
Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems. Journal of Dynamics and Differential Equations. 2021. Vol: 33. Pág. 463-487. https://doi.org/10.1007/s10884-019-09815-5.
Tuan, Nguyen Huy;Caraballo-Garrido, Tomás;Thach, Tran Ngoc:
On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions. Asymptotic analysis. 2021. Vol: 123. Pág. 335-366. 10.3233/ASY-201637.
Caraballo-Garrido, Tomás;Ngoc, Tran Bao;Tuan, Nguyen Huy;Wang, Renhai:
On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel. Proceedings of the American Mathematical Society. 2021. Vol: 149. Núm: 8. Pág. 3317-3334. https://doi.org/10.1090/proc/15472.
Xu, Jiaohui;Caraballo-Garrido, Tomás:
Dynamics of stochastic nonlocal partial differential equations. European Physical Journal Plus. 2021. Vol: 136. Núm: 849. https://doi.org/10.1140/epjp/s13360-021-01818-w.
Caraballo-Garrido, Tomás;López-de-la-Cruz, Javier:
Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics. AIMS Mathematics. 2021. Vol: 6. Núm: 4. Pág. 4025-4052. DOI: 10.3934/math.2021239.
Caraballo-Garrido, Tomás;Colucci, Renato;López-de-la-Cruz, Javier;Rapaport, Alain:
Corrigendum to the paper: A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun Nonlinear Sci Numer . Communications in Nonlinear Science & Numerical Simulation. 2021. Vol: 96. Núm: 105681. https://doi.org/10.1016/j.cnsns.2020.105681.
Caraballo-Garrido, Tomás;Belfeki, Mohsen;Mchiri, Lassaad;Rhaima, Mohamed:
h¿stability in pth moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise. Chaos, Solitons & Fractals. 2021. Vol: 151. Núm: 111249. https://doi.org/10.1016/j.chaos.2021.111249.
Caraballo-Garrido, Tomás;Ezzine, Faten;Hammami, Mohamed Ali;Mchiri, Lassaad:
Practical stability with respect to a part of variables of stochastic differential equations. Stochastics. 2021. Vol: 93. Núm: 5. Pág. 647-664. https://doi.org/10.1080/17442508.2020.1773826.
Zhao, Caidi;Jiang, Huite ;Caraballo-Garrido, Tomás:
Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. Applied Mathematics Letters. 2021. Vol: 404. Núm: 126103. https://doi.org/10.1016/j.amc.2021.126103.
Caraballo-Garrido, Tomás;Mchiri, Lassaad;Rhaima, Mohamed:
Exponential Stability of Neutral Stochastic Functional Differential Equations with Markovian Switching. Mediterranean Journal of Mathematics. 2021. Vol: 18. Núm: 142. https://doi.org/10.1007/s00009-021-01786-6.
Caraballo-Garrido, Tomás;Colucci, Renato;López-de-la-Cruz, Javier;Rapaport, Alain:
Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate. Mathematical Biosciences and Engineering. 2020. Vol: 17. Núm: 6. Pág. 7480-7501. https://doi.org/10.3934/mbe.2020382.
Zhao, Caidi;Song, Zhongchun ;Caraballo-Garrido, Tomás:
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Applied Mathematics Letters. 2020. Vol: 99. https://doi.org/10.1016/j.aml.2019.07.012.
Caraballo-Garrido, Tomás;Benhadri, Mimia;Zeghdoudi, Halim:
Existence of periodic positive solutions to a nonlinear Lotka-Votlerra competition systems. Opuscula Mathematica. 2020. Vol: 40. Núm: 3. Pág. 341-360. https://doi.org/10.7494/OpMath.2020.40.3.341.
Caraballo-Garrido, Tomás;El Fatini, Mohamed ;Sekkak, Idriss ;Taki, Regragui ;Laaribi, Aziz :
A stochastic threshold for an epidemic model with isolation and a non linear incidence. Communications on Pure and Applied Analysis. 2020. Vol: 19. Núm: 5. Pág. 2513-2531. http://dx.doi.org/10.3934/cpaa.2020110.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel:
Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations. AIMS Mathematics. 2020. Vol: 5. Núm: 6. Pág. 5470-5494. 10.3934/math.2020351.
Zhao, Caidi;Li, Yanjiao ;Caraballo-Garrido, Tomás:
Trajectory statistical solutions and Liouville type equations for evolution equations: Abstract results and applications. Journal of Differential Equations. 2020. Vol: 269. Pág. 467-494. https://doi.org/10.1016/j.jde.2019.12.011.
Caraballo-Garrido, Tomás;Ogouyandjou, Carlos ;Allognissode, Fulbert Kuessi ;Diop, Mamadou Abdoul :
Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process. Discrete and Continuous Dynamical Systems. Series B. 2020. Vol: 25. Núm: 2. Pág. 507-528. 10.3934/dcdsb.2019251.
Caraballo-Garrido, Tomás;Pereira Da Silva, Alex:
Stability analysis of a delay differential Kaldor's model with government policies. Mathematica Scandinavica. 2020. Vol: 126. Pág. 117-141. https://doi.org/10.7146/math.scand.a-116243.
Caraballo-Garrido, Tomás;El Fatini, Mohamed;El Khalifi, Mohamed ;Gerlach, Richard ;Pettersson, Roger :
Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel. Chaos, Solitons & Fractals. 2020. Vol: 133. https://doi.org/10.1016/j.chaos.2020.109643.
Benhadri, Mimia;Caraballo-Garrido, Tomás;Zeghdoudi, Halim :
Stability results for neutral stochastic functional differential equations via fixed point methods. International Journal of Control. 2020. Vol: 93. Núm: 7. Pág. 1726-1734. https://doi.org/10.1080/00207179.2018.1530431.
López-de-la-Cruz, Javier;Pérez-aranda - Redondo, María;Alcudia, Ana;Begines, Belén;Caraballo-Garrido, Tomás;Pajuelo-Dominguez, Eloisa;Ginel-Perez, Pedro Jose:
Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonasaeruginosa infection. Communications in Nonlinear Science & Numerical Simulation. 2020. Vol: 91. https://doi.org/10.1016/j.cnsns.2020.105418.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Revista Matemática Complutense. 2020. Vol: 33. Pág. 583-617. https://doi.org/10.1007/s13163-019-00323-0.
Wang, Jintao;Zhao, Caidi;Caraballo-Garrido, Tomás:
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Communications in Nonlinear Science & Numerical Simulation. 2020. Vol: 91. https://doi.org/10.1016/j.cnsns.2020.105459.
López-de-la-Cruz, Javier;Pérez-aranda - Redondo, María;Begines, Belén ;Caraballo-Garrido, Tomás;Pajuelo-Dominguez, Eloisa:
Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection. Communications in Nonlinear Science & Numerical Simulation. 2020. Vol: 91. 10.1016/j.cnsns.2020.105418.
Wang, Yejuan;Caraballo-Garrido, Tomás:
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems. Series S. 2020. Vol: 13. Núm: 8. Pág. 2303-2326. 10.3934/dcdss.2020092.
Sun, Wenlong;Caraballo-Garrido, Tomás;Han, Xiaoying;Kloeden-, Peter Eris:
A free boundary tumor model with time dependent nutritional supply. Nonlinear Analysis: Real World Applications. 2020. Vol: 53. https://doi.org/10.1016/j.nonrwa.2019.103063.
Boukanjime, Brahim ;Caraballo-Garrido, Tomás;El Fatini, Mohamed ;El Khalifi, Mohamed :
Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching. Chaos, Solitons & Fractals. 2020. Vol: 141. Núm: 110361. https://doi.org/10.1016/j.chaos.2020.110361.
Caraballo-Garrido, Tomás;Teamah, Abd El-moneim Anwar ;El-bagoury, Abd Al-aziz Hosni :
Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique. Communications in Statistics: Theory and Methods. 2020. Vol: 49. Núm: 13. Pág. 3313-3328. https://doi.org/10.1080/03610926.2019.1588323.
Calatayud, Julia;Caraballo-Garrido, Tomás;Cortés, Juan Carlos ;Jornet, Marc:
Mathematical methods for the randomized non-autonomous Bertalanffy model. Electronic Journal Of Differential Equations. 2020. Vol: 2020. Núm: 50. Pág. 1-19.
Caraballo-Garrido, Tomás;Settati, Adel;El Fatini, Mohamed;Lahrouz, Aadil;Imlahi, Abdelouahid :
Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation. Physica A: Statistical Mechanics and its Applications. 2019. Vol: 523. Pág. 677-690. https://doi.org/10.1016/j.physa.2019.03.006.
Blouhi, Tayeb;Caraballo-Garrido, Tomás;Ouahab, Abdelghani:
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion. Fixed Point Theory. 2019. Vol: 20. Núm: 1. Pág. 71-106. 10.24193/fpt-ro.2019.1.05.
Caraballo-Garrido, Tomás;Colucci, Renato;Guerrini, Luca:
Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: a case study. . Discrete and Continuous Dynamical Systems. Series B. 2019. Vol: 24. Núm: 6. Pág. 2639-2655. 10.3934/dcdsb.2018268.
Xu, Jiaohui;Caraballo-Garrido, Tomás:
Long time behavior of fractional impulsive stochastic differential equations with infinite delay. Discrete and Continuous Dynamical Systems. Series B. 2019. Vol: 24. Núm: 6. Pág. 2719-2373. 10.3934/dcdsb.2018272.
Liu, Linfang;Caraballo-Garrido, Tomás;Kloeden-, Peter Eris:
The asymptotic behaviour of fractional lattice systems with variable delay. Fractional Calculus and Applied Analysis. 2019. Vol: 22. Núm: 3. Pág. 681-698. 10.1515/fca-2019-0038.
Caraballo-Garrido, Tomás;Colucci, Renato;Guerrini, Luca:
Some remarks on an environmental defensive expenditures model. Discrete and Continuous Dynamical Systems. Series B. 2019. Vol: 24. Núm: 3. Pág. 1079-1093. 10.3934/dcdsb.2019007.
Zhao, Caidi;Caraballo-Garrido, Tomás:
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier¿Stokes equations. Journal of Differential Equations. 2019. Vol: 266. Pág. 7205-7229. https://doi.org/10.1016/j.jde.2018.11.032.
Benhadri, Mimia;Caraballo-Garrido, Tomás;Halim, Zeghdoudi:
Existence of solutions and stability for impulsive neutral stochastic functional differential equations. Stochastic Analysis and Applications. 2019. Vol: 37. Núm: 5. Pág. 777-798. https://doi.org/10.1080/07362994.2019.1611449.
Samprogna, Rodrigo;Gentile Moussa, Claudia B. ;Caraballo-Garrido, Tomás;Schiabel, Karina :
Trajectory and global attractors for generalized processes. Discrete and Continuous Dynamical Systems. Series B. 2019. Vol: 24. Núm: 8. Pág. 3995-4020. 10.3934/dcdsb.2019047.
Caraballo-Garrido, Tomás;López-de-la-Cruz, Javier;Rapaport, Alain:
Modeling bounded random fluctuations in biological systems: application to the chemostat model with two species. IFAC-PapersOnLine. 2019. Vol: 52. Núm: 26. Pág. 187-192. 10.1016/j.ifacol.2019.12.25.
Xu, Jiaohui;Zhang, Zhengce;Caraballo-Garrido, Tomás:
Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay. Communications in Nonlinear Science & Numerical Simulation. 2019. Vol: 75. Pág. 121-139. https://doi.org/10.1016/j.cnsns.2019.03.002.
Zhang, Tian ;Chen, Huabin ;Yuan, Chenggui ;Caraballo-Garrido, Tomás:
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Discrete and Continuous Dynamical Systems. Series B. 2019. Vol: 24. Núm: 10. Pág. 5355-5375. 10.3934/dcdsb.2019062.
Li, Huanhuan;Chen, Diyi;Arzaghi, Ehsan;Abbassi, Rouzbeh;Kilicman, Adem;Caraballo-Garrido, Tomás;Patelli, Edoardo;Gao, Xiang;Xu, Beibei:
Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process. Communications in Nonlinear Science & Numerical Simulation. 2019. Vol: 67. Pág. 192-202. 10.1016/j.cnsns.2018.07.025.
Caraballo-Garrido, Tomás;Colucci, Renato;López-de-la-Cruz, Javier;Rapaport, Alain:
A way to model stochastic perturbations in population dynamics models with bounded realizations. Communications in Nonlinear Science & Numerical Simulation. 2019. Vol: 77. Pág. 239-257. 10.1016/j.cnsns.2019.04.019.
Liu, Linfang;Caraballo-Garrido, Tomás:
Analysis of a Stochastic 2D-Navier¿Stokes Model with Infinite Delay. Journal of Dynamics and Differential Equations. 2019. Vol: 31. Núm: 4. Pág. 2249-2274. https://doi.org/10.1007/s10884-018-9703-x.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;López-de-la-Cruz, Javier;Rapaport, Alain:
Modeling and analysis of random and stochastic input flows in the chemostat model. Discrete and Continuous Dynamical Systems. Series B. 2019. Vol: 24. Núm: 8. Pág. 3591-3614. 10.3934/dcdsb.2018280.
Boudaoui, Ahmed;Caraballo-Garrido, Tomás;Blouhi, Tayeb:
Hyers¿Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems. Random Operators and Stochastic Equations. 2019. Vol: 27. Núm: 3. Pág. 143-152. https://doi.org/10.1515/rose-2019-2012.
Caraballo-Garrido, Tomás;Cortés, Juan Carlos;Navarro-quiles, Ana:
Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Applied Mathematics and Computation. 2019. Vol: 356. Pág. 198-218. https://doi.org/10.1016/j.amc.2019.03.048.
Liu, Linfang;Caraballo-Garrido, Tomás;Marín-Rubio, Pedro:
Stability results for 2D Navier-Stokes equations with unbounded delay. Journal of Differential Equations. 2018. Vol: 265. Núm: 11. Pág. 5685-5708. https://doi.org/10.1016/j.jde.2018.07.008.
Caraballo-Garrido, Tomás;Keraani, Sami:
Analysis of a stochastic SIR model with fractional Brownian motion. Stochastic Analysis and Applications. 2018. Vol: 36. Núm: 5. Pág. 895-908. 10.1080/07362994.2018.1490912.
Caraballo-Garrido, Tomás;El Fatini, Mohamed;Pettersson, Roger;Taki, Regragui:
A stochastic SIRI epidemic model with relapse and media coverage. Discrete and Continuous Dynamical Systems. Series B. 2018. Vol: 23. Núm: 8. Pág. 3483-3501. 10.3934/dcdsb.2018250.
Caraballo-Garrido, Tomás;Colucci, Renato;Guerrini, Luca:
Dynamics of a continuous Hénon model. Mathematical Methods in the Applied Sciences. 2018. Vol: 41. Núm: 10. Pág. 3934-3954. 10.1002/mma.4878.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Obaya, Rafael;Sanz, Ana:
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent. Journal of Differential Equations. 2018. Vol: 265. Núm: 9. Pág. 3914-3951. 10.1016/j.jde.2018.05.023.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Time-dependent attractors for non-autonomous non-local reaction-diffusion equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2018. Vol: 148. Núm: 5. Pág. 957-981. https://doi.org/10.1017/S0308210517000348.
Berrhazi, Badr-eddine;El Fatini, Mohamed;Caraballo-Garrido, Tomás;Pettersson, Roger:
A stochastic SIRI epidemic model with Lévy noise. Discrete and Continuous Dynamical Systems. Series B. 2018. Vol: 23. Núm: 6. Pág. 2415-2431. 10.3934/dcdsb.2018057.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Robustness of time-dependent attractors in H1-norm for nonlocal problems. Discrete and Continuous Dynamical Systems. Series B. 2018. Vol: 23. Núm: 3. Pág. 1011-1036. https://doi.org/10.3934/dcdsb.2018140.
Caraballo-Garrido, Tomás;Colucci, Renato;Guerrini, Luca:
On a predator prey model with nonlinear harvesting and distributed delay. Communications on Pure and Applied Analysis. 2018. Vol: 17. Núm: 6. Pág. 2703-2727. 10.3934/cpaa.2018128.
Xu, Beibei;Chen, Diyi;Gao, Xiang;Caraballo-Garrido, Tomás; Patelli, Edoardo:
Dynamic evolution of a hydraulic-mechanical-electric system with randomly fluctuating speed. Nonlinear Dynamics. 2018. Vol: 92. Pág. 1801-1813. 10.1007/s11071-018-4163-8.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems. Journal of Mathematical Analysis and Applications. 2018. Vol: 459. Núm: 2. Pág. 997-1015. https://doi.org/10.1016/j.jmaa.2017.11.013.
Samprogna, Rodrigo;Caraballo-Garrido, Tomás:
Pullback attractor for a dynamic boundary non-autonomous problem with infinite delay. Discrete and Continuous Dynamical Systems. Series B. 2018. Vol: 23. Núm: 2. Pág. 509-523. 10.3934/dcdsb.2017195.
Caraballo-Garrido, Tomás;Liu, Linfang;Kloeden-, Peter Eris:
Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory. Revista Matemática Complutense. 2017. Vol: 30. Núm: 3. Pág. 687-717.
Caraballo-Garrido, Tomás;Hammami, Mohamed Ali;Mchiri, Lassaad:
Practical exponential stability of impulsive stochastic functional differential equations. Systems & Control Letters. 2017. Vol: 109. Pág. 43-48.
Caraballo-Garrido, Tomás;Colucci, Renato:
A qualitative description of microstructure formation and coarsening phenomena for an evolution equation. Nonlinear Differential Equations and Applications. 2017. Vol: 24. Núm: 2.
Bonotto, Everaldo;Bortolan, Matheus;Caraballo-Garrido, Tomás;Collegari, Rodolfo:
Attractors for impulsive non-autonomous dynamical systems and their relations. Journal of Differential Equations. 2017. Vol: 262. Núm: 6. Pág. 3524-3550. http://dx.doi.org/10.1016/j.jde.2016.11.036.
Caraballo-Garrido, Tomás;Felipe Rivero:
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic . Discrete and Continuous Dynamical Systems. Series B. 2017. Vol: 22. Núm: 5. Pág. 1817-1833.
Caraballo-Garrido, Tomás;Liu, Linfang:
Well-posedness and dynamics of a fractional stochastic integro-differential equation. Physica D: Nonlinear Phenomena. 2017. Vol: 355. Pág. 45-57.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel:
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic. Discrete and Continuous Dynamical Systems. Series B. 2017. Vol: 22. Núm: 5. Pág. 1817-1833.
Caraballo-Garrido, Tomás;Bonotto, Everaldo ;Bortolan, Matheus;Collegari, Rodolfo :
Impulsive non-autonomous dynamical systems and impulsive cocycle attractors.. Mathematical Methods in the Applied Sciences. 2017. Vol: 40. Núm: 4. Pág. 1095-1113.
Caraballo-Garrido, Tomás;Colucci, Renato:
A comparison between random and stochastic modeling for a SIR model. Communications on Pure and Applied Analysis. 2017. Vol: 16. Núm: 1. Pág. 151-162. http://dx.doi.org/10.3934/cpaa.2017007.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn;Valero-Cuadra, José:
Attractors for a random evolution equation with infinite memory: Theoretical results.. Discrete and Continuous Dynamical Systems. Series B. 2017. Vol: 22. Núm: 5. Pág. 1779-1800.
Caraballo-Garrido, Tomás;Sonner, Stefanie:
Random pullback exponential attractors: General existence results for random dynamical systems in Banach spaces. Discrete and Continuous Dynamical Systems. Series A. 2017. Vol: 37. Núm: 12. Pág. 6383-6403.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
An iterative method for non-autonomous nonlocal reaction-diffusion equations. Applied Mathematics and Nonlinear Sciences. 2017. Vol: 2. Núm: 1. Pág. 73-82. 10.21042/AMNS.2017.1.00006.
Caraballo-Garrido, Tomás;Boudaoui, Ahmed;Ouahab, Abdelghani:
Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion. Discrete and Continuous Dynamical Systems. Series B. 2017. Vol: 22. Núm: 7. Pág. 2521-2541.
Caraballo-Garrido, Tomás;Rodrigues, Hildebrando M.;Gameiro, Marcio:
Dynamics of a class of ODEs via wavelets. Communications on Pure and Applied Analysis. 2017. Vol: 16. Núm: 6. Pág. 2237-2255. 10.3934/cpaa.2017115.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Obaya, Rafael:
Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations. Nonlinearity. 2017. Vol: 30. Núm: 1. Pág. 274-299.
Caraballo-Garrido, Tomás;Colucci, Renato:
Stabilization of oscillations in a phase transition model. Mathematical Methods in the Applied Sciences. 2017. Vol: 40. Núm: 3. Pág. 823-832.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;López-de-la-Cruz, Javier:
Dynamics of some stochastic chemostat models with multiplicative noise. Communications on Pure and Applied Analysis. 2017. Vol: 16. Núm: 5. Pág. 1893-1914. 10.3934/cpaa.2017092.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution. Discrete and Continuous Dynamical Systems. Series B. 2017. Vol: 22. Núm: 5. Pág. 1801-1816. 10.3934/dcdsb.2017107.
Caraballo-Garrido, Tomás;Hammmami, Mohamed Ali;Mchiri, Lassaad:
Practical Stability of Stochastic Delay Evolution Equations. Acta Applicandae Mathematicae. 2016. Vol: 142. Pág. 91-105. DOI 10.1007/s10440-015-0016-3.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Grecksch, Wilfried:
Preface [Special issue dedicated to Björn Schmalfußon the occasion of his 60th birthday]. Discrete and Continuous Dynamical Systems. Series B. 2016. Vol: 21. Núm: 9. Pág. i-ii.
Caraballo-Garrido, Tomás;Bonotto, Everaldo;Bortolan, Matheus;Collegari, Rodolfo:
Impulsive surfaces on dynamical systems. Acta Mathematica Hungarica. 2016. Vol: 150. Núm: 1. Pág. 209-216. http://dx.doi.org/10.1007/s10474-016-063.
Caraballo-Garrido, Tomás;Colucci, Renato;Han, Xiaoying:
Predation with indirect effects in fluctuating environments. Nonlinear Dynamics. 2016. Vol: 84. Pág. 115-126. 10.1007/s11071-015-2238-3.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Discrete and Continuous Dynamical Systems. Series S. 2016. Vol: 9. Núm: 4. Pág. 979-994. http://dx.doi.org/10.3934/dcdss.2016037.
Caraballo-Garrido, Tomás;Han, Xiaoying;Schmalfuss-, Björn;Valero-Cuadra, José:
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Nonlinear Analysis, Theory, Methods and Applications. 2016. Vol: 130. Pág. 255-278.
Boudaoui, Ahmed;Caraballo-Garrido, Tomás;Ouahab, Abdelghani:
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay. Mathematical Methods in the Applied Sciences. 2016. Vol: 39. Núm: 6. Pág. 1435-1451. 10.1002/mma.3580.
Caraballo-Garrido, Tomás;Colucci, Renato;Han, Xiaoying:
Semi-Kolmogorov models for predation with indirect effects in random environments. Discrete and Continuous Dynamical Systems. Series B. 2016. Vol: 21. Núm: 7. Pág. 2129-2143. http://dx.doi.org/10.3934/dcdsb.2016040.
Caraballo-Garrido, Tomás;Colucci, Renato;Han, Xiaoying:
Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing. Nonlinear Analysis: Real World Applications. 2016. Vol: 31. Pág. 661-680. http://dx.doi.org/10.1016/j.nonrwa.2016.03.007.
Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Da Costa, Henrique;Langa-Rosado, José Antonio:
Equi-attraction and continuity of attractors for skew-product semiflows. Discrete and Continuous Dynamical Systems. Series B. 2016. Vol: 21. Núm: 9. Pág. 2949-2967. http://dx.doi.org/10.3934/dcdsb.2016081.
Caraballo-Garrido, Tomás;Boudaoui, Ahmed;Ouahab, Abdelghani:
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay. Applicable Analysis. 2016. Vol: 95. Núm: 9. Pág. 2039-2062. http://dx.doi.org/10.1080/00036811.2015.1086756.
Diop, Mamadou Abdoul;Caraballo-Garrido, Tomás;Mané, Aziz:
Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations. Mathematical Methods in the Applied Sciences. 2016. Vol: 39. Núm: 15. Pág. 4512-4519. http://dx.doi.org/10.1002/mma.3879.
Caraballo-Garrido, Tomás;Blouhi, Tayeb;Ouahab, Abdelghani:
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Stochastic Analysis and Applications. 2016. Vol: 34. Núm: 5. Pág. 792-834. http://dx.doi.org/10.1080/07362994.2016.1180994.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. Nonlinear Dynamics. 2016. Vol: 84. Núm: 1. Pág. 35-50. 10.1007/s11071-015-2200-4.
Caraballo-Garrido, Tomás;Hammami, Mohamed Ali;Mchiri, Lassaad:
On the practical global uniform asymptotic stability of stochastic differential equations. Stochastics. 2016. Vol: 88. Pág. 45-56. 10.1080/17442508.2015.1029719.
Diop, Mamadou Abdoul;Caraballo-Garrido, Tomás;Zene, Mahamat Mahamat:
Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays. Stochastics and Dynamics. 2016. Vol: 16. Núm: 6. Pág. 1-17. 10.1142/S0219493716500143.
Caraballo-Garrido, Tomás;Han, Xiaoying;Kloeden-, Peter Eris:
Chemostats with time-dependent inputs and wall growth. Applied Mathematics & Information Sciences. 2015. Vol: 9. Núm: 5. Pág. 2283-2296. dx.doi.org/10.12785/amis/090509.
Caraballo-Garrido, Tomás;Jara-Pérez, Juan Carlos;Langa-Rosado, José Antonio;Valero-Cuadra, José:
Morse decomposition of global attractors with infinite components. Discrete and Continuous Dynamical Systems. Series A. 2015. Vol: 35. Núm: 7. Pág. 2845-2861.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Felipe Rivero:
Well-posedness and Asymptotic Behaviour for a Nonclassical Nonautonomous Diffusion Equation with Delay. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2015. Vol: 25. Núm: 15. Pág. 1-11. 10.1142/S0218127415400210.
Li, Xiaodi;Caraballo-Garrido, Tomás;Rakkiyappan, R.;Han, Xiuping:
On the stability of impulsive functional differential equations with infinite delays. Mathematical Methods in the Applied Sciences. 2015. Vol: 38. Pág. 3130-3140. 10.1002/mma.3303.
Boudaoui, Ahmed ;Caraballo-Garrido, Tomás;Ouahab, Abdelghani:
Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses. Stochastic Analysis and Applications. 2015. Vol: 33. Núm: 2. Pág. 244-258.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul:
Asymptotic stability of neutral stochastic functional integro-differential equations. Electronic Communications In Probability. 2015. Vol: 20. Pág. 1-13.
Caraballo-Garrido, Tomás;Herrera-Cobos, Marta;Marín-Rubio, Pedro:
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Nonlinear Analysis, Theory, Methods and Applications. 2015. Vol: 121. Pág. 3-18. http://dx.doi.org/10.1016/j.na.2014.07.011.
Caraballo-Garrido, Tomás;Hammami, Mohamed Ali;Mchiri, Lassaad:
Practical exponential stability in mean square of stochastic partial differential equations. Collectanea Mathematica. 2015. Vol: 66. Núm: 2. Pág. 261-271.
Caraballo-Garrido, Tomás;Han, Xiaoying ;Kloeden-, Peter Eris:
Nonautonomous Chemostats with Variable Delays. SIAM Journal on Mathematical Analysis. 2015. Vol: 47. Núm: 3. Pág. 2178-2199. 10.1137/14099930X.
Caraballo-Garrido, Tomás;Morillas, Francisco ;Valero-Cuadra, José:
Attractors for non-autonomous retarded lattice dynamical systems.. Nonautonomous Dynamical Systems. 2015. Vol: 2. Pág. 31-51. 10.1515/msds-2015-0003.
Diop, Mamadou Abdoul;Caraballo-Garrido, Tomás;Ndiaye, Abdoul Aziz:
Exponential Behavior of Solutions to Stochastic Integrodifferential Equations with Distributed Delays. Stochastic Analysis and Applications. 2015. Vol: 33. Núm: 3. Pág. 399-412. 10.1080/07362994.2014.1000070.
Caraballo-Garrido, Tomás;Colucci, Renato:
Effects of additive and multiplicative noise on the dynamics of a parabolic equation. Applied Mathematics & Information Sciences. 2015. Vol: 9. Núm: 5. Pág. 2273-2281. dx.doi.org/10.12785/amis/090508.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul;Ndoye, Ahmet Seyni:
Fixed points and exponential stability for stochastic partial integro-differential equations with delays. Advances in Dinamical Systems and Applications. 2014. Vol: 9. Núm: 2. Pág. 133-147.
Anguiano, María;Caraballo-Garrido, Tomás:
Asymptotic behaviour of a nonautonomous Lorenz-84 system . Discrete and Continuous Dynamical Systems. Series A. 2014. Vol: 34. Núm: 10. Pág. 3901-3920. http://dx.doi.org/10.3934/dcds.2014.34.3901.
Caraballo-Garrido, Tomás;Shaikhet, Leonid:
Stability of delay evolution equations with stochastic perturbations. Communications on Pure and Applied Analysis. 2014. Vol: 13. Núm: 5. Pág. 2095-2113.
Caraballo-Garrido, Tomás;Morillas, Francisco;Valero-Cuadra, José:
On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Discrete and Continuous Dynamical Systems. Series A. 2014. Vol: 34. Núm: 1. Pág. 51-77. http://dx.doi.org/10.3934/dcds.2014.34.51.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul;Ndiaye, Abdoul Aziz:
Existence results for time-dependent stochastic neutral functional integrodifferential equations driven by a fractional Brownian motion. Journal of Numerical Mathematics and Stochastics. 2014. Vol: 6. Núm: 1. Pág. 84-99.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul;Ndiaye, Abdoul Aziz:
Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion. Journal of Nonlinear Science and Applications. 2014. Vol: 7. Núm: 6. Pág. 407-421.
Caraballo-Garrido, Tomás;Morillas, Francisco;Valero-Cuadra, José:
Asymptotic behaviour of a logistic lattice system. Discrete and Continuous Dynamical Systems. Series A. 2014. Vol: 34. Núm: 10. Pág. 4019-4037. http://dx.doi.org/10.3934/dcds.2014.34.4019.
Caraballo-Garrido, Tomás;Walther, Hans-otto:
Preface [Special issue on deterministic and stochastic dynamical systems with delays]. Discrete and Continuous Dynamical Systems. Series B. 2014. Vol: 18. Pág. i-ii.
Caraballo-Garrido, Tomás;Colucci, Renato:
Pullback attractor for a non-linear evolution equation in elasticity. Nonlinear Analysis: Real World Applications. 2014. Vol: 15. Pág. 80-88. 10.1016/j.nonrwa.2013.06.002.
Caraballo-Garrido, Tomás;Mchiri, Lassaad;Hammami, Mohamed Ali:
Practical Asymptotic Stability of Nonlinear Stochastic Evolution Equations. Stochastic Analysis and Applications. 2014. Vol: 32. Núm: 1. Pág. 77-87.
Caraballo-Garrido, Tomás;Han, Xiaoying:
Stability of stationary solutions to 2D-Navier-Stokes models with delays. Dynamics Of Partial Differential Equations. 2014. Vol: 11. Núm: 4. Pág. 345-359.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel:
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay. Dynamics Of Partial Differential Equations. 2013. Vol: 10. Núm: 3. Pág. 267-295.
Langa-Rosado, José Antonio;Caraballo-Garrido, Tomás;Jara-Pérez, Juan Carlos;Liu-, Zhenxin:
Morse decomposition of attractors for non-autonomous dynamical systems. Advanced Nonlinear Studies. 2013. Vol: 13. Núm: 2. Pág. 309-329.
Caraballo-Garrido, Tomás;Kiss, Gabor:
Attractors for differential equations with multiple variable delays. Discrete and Continuous Dynamical Systems. Series A. 2013. Vol: 33. Núm: 4. Pág. 1365-1374.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul:
Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. Frontiers Of Mathematics In China. 2013. Vol: 8. Núm: 4. Pág. 745-760.
Caraballo-Garrido, Tomás;Real-Anguas, José;Valero, José:
Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2013.
Caraballo-Garrido, Tomás;Cheban, David:
Almost periodic and almost automorphic solutions of linear differential equations. Discrete and Continuous Dynamical Systems. Series A. 2013. Vol: 33. Pág. 1857-1882.
Aragão-Costa, Eder Ritis;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes. American Mathematical Society. Transactions. 2013. Vol: 365. Núm: 10. Pág. 5277-5312.
Langa-Rosado, José Antonio;Bortolan, Matheus;Carvalho-, Alexandre Nolasco;Caraballo-Garrido, Tomás:
Skew product semiflows and Morse decomposition. Journal of Differential Equations. 2013. Vol: 255. Núm: 8. Pág. 2436-2462. 10.1016/j.jde.2013.06.023.
Diop, Mamadou Abdoul;Caraballo-Garrido, Tomás:
Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion. Frontiers Of Mathematics In China. 2013. Vol: 8. Núm: 4. Pág. 745-760.
Anguiano, María;Caraballo-Garrido, Tomás;Real-Anguas, José;Valero-Cuadra, José:
Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2013. Vol: 23. Núm: 3. Pág. 1-24. https://doi.org/10.1142/S0218127413500429.
Langa-Rosado, José Antonio;Brzekniak, Z. ;Caraballo-Garrido, Tomás;Li, Y.;Lucaszewicz, G.;Real-Anguas, José:
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains. Journal of Differential Equations. 2013. Vol: 255. Núm: 11. Pág. 3897-3919. 10.1016/j.jde.2013.07.043.
Caraballo-Garrido, Tomás;Kiss, Gabor:
Attractivity for neutral functional differential equations. Discrete and Continuous Dynamical Systems. Series B. 2013. Vol: 18. Núm: 7. Pág. 1793-1804.
Caraballo-Garrido, Tomás;Cheban, David:
On the structure of the global attractor for infinite-dimensional non-autonomous dynamical systems with weak convergence. Communications on Pure and Applied Analysis. 2013. Vol: 12. Núm: 1. Pág. 281-302. 10.3934/cpaa.2013.12.281.
Bortolan, Matheus C.;Caraballo-Garrido, Tomás;Carvalho, Alexandre N.;Langa, José A.:
An estimate on the fractal dimension of attractors of gradient-like dynamical systems. Nonlinear Analysis, Theory, Methods and Applications. 2012. Vol: 75. Núm: 14. Pág. 5702-5722.
Caraballo-Garrido, Tomás;Morillas-Jurado, Francisco;Valero, José :
Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Journal of Differential Equations. 2012. Vol: 253. Núm: 2. Pág. 667-693.
Caraballo-Garrido, Tomás;Cheban, David:
On the structure of the global attractor for non-autonomous dynamical systems with weak convergence. Communications on Pure and Applied Analysis. 2012. Vol: 11. Núm: 2. Pág. 809-828. 10.3934/cpaa.2012.11.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul;Ndiaye, Abdoul Aziz:
Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by fBm. Journal of Nonlinear Science and Applications. 2012. Vol: 7. Pág. 407-421.
Caraballo-Garrido, Tomás;Diop, Mamadou Abdoul;Ndoye, Ahmet Seyni:
Fixed points and exponential stability for stochastic partial integrodifferential equations with delays. Advances in Dinamical Systems and Applications. 2012. Vol: 9. Núm: 2. Pág. 133-147.
Aragão-Costa, Eder Ritis;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Topological Methods in Nonlinear Analysis. 2012. Vol: 39. Pág. 57-82.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Liu-, Zhenxin:
Gradient infinite-dimensional random dynamical systems. SIAM Journal on Applied Dynamical Systems. 2012. Vol: 11. Núm: 4. Pág. 1817-1847.
Caraballo-Garrido, Tomás;Cheban, David:
On the structure of the global attractor for non-autonomous difference equations with weak convergence. Journal of Difference Equations and Applications. 2012. Vol: 18. Núm: 4. Pág. 535-551.
Caraballo-Garrido, Tomás;Cheban-,David:
ALMOST PERIODIC AND ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS OF LIÉNARD EQUATIONS. Discrete and Continuous Dynamical Systems. Series B. 2011. Vol: 16. Núm: 3. Pág. 703-717.
Aragão-Costa, Eder Ritis;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
STABILITY OF GRADIENT SEMIGROUPS UNDER PERTURBATIONS. Nonlinearity. 2011. Vol: 24. Pág. 2099-2117.
Caraballo-Garrido, Tomás;Cheban-,David:
LEVITAN/BOHR ALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF SECOND ORDER MONOTONE DIFFERENTIAL EQUATIONS. Journal of Differential Equations. 2011. Vol: 251. Pág. 708-727.
Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio;Felipe Rivero:
A NON-AUTONOMOUS STRONGLY DAMPED WAVE EQUATION: EXISTENCE AND CONTINUITY OF THE PULLBACK ATTRACTOR. Nonlinear Analysis, Theory, Methods and Applications. 2011. Vol: 74. Pág. 2272-2283. 10.1016/j.na.2010.11.032.
Caraballo-Garrido, Tomás;Morillas-Jurado, Francisco;Valero-Cuadra, José:
RANDOM ATTRACTORS FOR STOCHASTIC LATTICE SYSTEMS WITH NON-LIPSCHITZ NONLINEARITY. Journal of Difference Equations and Applications. 2011. Vol: 17. Núm: 2. Pág. 161-184.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Taniguchi-,Takeshi:
THE EXISTENCE AND EXPONENTIAL BEHAVIOR OF SOLUTIONS TO STOCHASTIC DELAY EVOLUTION EQUATIONS WITH A FRACTIONAL BROWNIAN MOTION. Nonlinear Analysis, Theory, Methods and Applications. 2011. Vol: 74. Pág. 3671-3684.
Balibrea-Gallego, Francisco;Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Valero-Cuadra, José:
EDITORIAL. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2010. Vol: 20. Núm: 9. Pág. 2589-2589.
Caraballo-Garrido, Tomás;Real-Anguas, José;Márquez-Durán, Antonio Miguel:
THREE DIMENSIONAL SYSTEM OF GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS WITH DELAY. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2010. Vol: 20. Núm: 9. Pág. 2869-2883.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn;Valero-Cuadra, José:
ASYMPTOTIC BEHAVIOUR OF A STOCHASTIC SEMILINEAR DISSIPATIVE FUNCTIONAL EQUATION WITHOUT UNIQUENESS OF SOLUTIONS. Discrete and Continuous Dynamical Systems. Series B. 2010. Vol: 14. Núm: 2. Pág. 439-455.
Anguiano, María;Caraballo-Garrido, Tomás;Real-Anguas, José;Valero-Cuadra, José:
Pullback attractors for reaction-diffusion equations in some unbounded domains with an $H^{-1}$-valued non-autonomous forcing term and without uniquen. Discrete and Continuous Dynamical Systems. Series B. 2010. Vol: 14. Núm: 2. Pág. 307-326. http://dx.doi.org/10.3934/dcdsb.2010.14.307.
Felipe Rivero;Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio:
EXISTENCE OF PULLBACK ATTRACTORS FOR PULLBACK ASYMPTOTICALLY COMPACT PROCESS. Nonlinear Analysis, Theory, Methods and Applications. 2010. Vol: 72. Pág. 1967-1976. 10.1016/j.na.2009.09.037.
Caraballo-Garrido, Tomás;Duan-,Jinqiao;Lu-,Kening;Schmalfuss-, Björn:
INVARIANT MANIFOLDS FOR RANDOM AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. Advanced Nonlinear Studies. 2010. Vol: 10. Núm: 1. Pág. 23-52.
Caraballo-Garrido, Tomás;Johnson-,Russell;Real-Anguas, José:
PREFACE OF THE SPECIAL ISSUE DEDICATED TO THE 60TH BIRTHDAY OF PETER KLOEDEN. Discrete and Continuous Dynamical Systems. Series B. 2010. Vol: 14. Núm: 2. Pág. I-III.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn;Valero-Cuadra, José:
GLOBAL ATTRACTOR FOR A NON-AUTONOMOUS INTEGRO-DIFFERENTIAL EQUATION IN MATERIALS WITH MEMORY. Nonlinear Analysis, Theory, Methods and Applications. 2010. Vol: 73. Núm: 1. Pág. 183-201.
Balibrea-Gallego, Francisco;Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Valero-Cuadra, José:
RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2010. Vol: 20. Núm: 9. Pág. 2591-2636.
Anguiano, María;Caraballo-Garrido, Tomás;Real-Anguas, José:
An exponential growth condition in $H^2$ for the pullback attractor of a non-autonomous reaction-diffusion equation. Nonlinear Analysis, Theory, Methods and Applications. 2010. Vol: 72. Núm: 11. Pág. 4071-4075. https://doi.org/10.1016/j.na.2010.01.038.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Felipe Rivero;Carvalho-, Alexandre Nolasco:
A GRADIENT-LIKE NONAUTONOMOUS EVOLUTION PROCESS. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2010. Vol: 20. Núm: 9. Pág. 2751-2760.
Caraballo-Garrido, Tomás;Grüne-,Lars:
INTRODUCTION TO PETER KLOEDEN'S SPECIAL ISSUE. Journal of Difference Equations and Applications. 2010. Vol: 16. Núm: 2-3. Pág. 125-126.
Anguiano, María;Caraballo-Garrido, Tomás;Real-Anguas, José:
Existence of Pullback Attractor for a Reaction-Diffusion Equation in Some Unbounded Domains With Non-Autonomous Forcing Term in $H^{-1}$. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2010. Vol: 20. Núm: 9. Pág. 2645-2656. https://doi.org/10.1142/S021812741002726X.
Anguiano, María;Caraballo-Garrido, Tomás;Real-Anguas, José:
$H^2$-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation. Nonlinear Analysis, Theory, Methods and Applications. 2010. Vol: 72. Núm: 2. Pág. 876-880. https://doi.org/10.1016/j.na.2009.07.027.
Caraballo-Garrido, Tomás;Real-Anguas, José;Kloeden-, Peter Eris:
ADDENDUM TO THE PAPER ``UNIQUE STRONG SOLUTIONS AND V-ATTRACTORS OF A THREE DIMENSIONAL SYSTEM OF GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS'', ADVANCE. Advanced Nonlinear Studies. 2010. Vol: 10. Núm: 1. Pág. 245-247.
Caraballo-Garrido, Tomás;Cheban-,David:
ALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL/DIFFERENCE EQUATIONS WITHOUT FAVARD'S SEPARATION CONDITION. I.. Journal of Differential Equations. 2009. Vol: 246. Núm: 1. Pág. 108-128.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris:
NON-AUTONOMOUS ATTRACTOR FOR INTEGRO-DIFFERENTIAL EVOLUTION EQUATIONS. Discrete and Continuous Dynamical Systems. Series S. 2009. Vol: 2. Núm: 1. Pág. 17-36.
Caraballo-Garrido, Tomás;Carvalho-, Alexandre Nolasco;Langa-Rosado, José Antonio;Felipe Rivero:
A GRADIENT-LIKE NON-AUTONOMOUS EVOLUTION PROCESS. Notas do ICMSC. 2009. Vol: 304. Pág. 1-15.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Real-Anguas, José:
ASYMPTOTIC BEHAVIOUR OF THE THREE-DIMENSIONAL Á-NAVIER¿STOKES MODEL WITH LOCALLY LIPSCHITZ DELAY FORCING TERMS. Nonlinear Analysis, Theory, Methods and Applications. 2009. Vol: 71. Núm: 12. Pág. E271-E282.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Real-Anguas, José:
INVARIANT MEASURES AND STATISTICAL SOLUTIONS OF THE GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS. Discrete and Continuous Dynamical Systems. Series B. 2008. Vol: 10. Núm: 4. Pág. 760-781.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Real-Anguas, José:
ASYMPTOTIC BEHAVIOUR OF THE THREE-DIMENSIONAL ALPHA-NAVIER-STOKES MODEL WITH DELAYS. Journal of Mathematical Analysis and Applications. 2008. Vol: 340. Núm: 1. Pág. 410-423.
Caraballo-Garrido, Tomás;Lu-,Kening:
ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS WITH A MULTIPLICATIVE NOISE. Frontiers Of Mathematics In China. 2008. Vol: 3. Núm: 3. Pág. 317-335.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn;Valero-Cuadra, José:
NON-AUTONOMOUS AND RANDOM ATTRACTORS FOR DELAY RANDOM SEMILINEAR EQUATIONS WITHOUT UNIQUENESS. Discrete and Continuous Dynamical Systems. Series A. 2008. Vol: 21. Núm: 2. Pág. 415-443.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Neuenkirch-,A:
SYNCHRONIZATION OF SYSTEMS WITH MULTIPLICATIVE NOISE. Stochastics and Dynamics. 2008. Vol: 8. Núm: 1. Pág. 139-154.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
STABILISATION OF DIFFERENTIAL INCLUSIONS AND PDES WITHOUT UNIQUENESS BY NOISE. Communications on Pure and Applied Analysis. 2008. Vol: 7. Núm: 6. Pág. 1375-1392.
Caraballo-Garrido, Tomás;Chueshov-,Igor;Real-Anguas, José:
PULLBACK ATTRACTORS FOR STOCHASTIC HEAT EQUATIONS IN MATERIALS WITH MEMORY. Discrete and Continuous Dynamical Systems. Series B. 2008. Vol: 9. Núm: 3-4. Pág. 525-539.
Caraballo-Garrido, Tomás;Real-Anguas, José;Shaikhet-,Leonid:
METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION IN STABILITY OF DELAY EVOLUTION EQUATIONS. Journal of Mathematical Analysis and Applications. 2007. Vol: 334. Núm: 2. Pág. 1130-1145.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Marín-Rubio, Pedro:
NUMERICAL AND FINITE DELAY APPROXIMATIONS OF ATTRACTORS FOR LOGISTIC DIFFERENTIAL-INTEGRAL EQUATIONS WITH INFINITE DELAY. Discrete and Continuous Dynamical Systems. Series A. 2007. Vol: 19. Núm: 1. Pág. 177-196.
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-Cuadra, José:
ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS. Journal of Differential Equations. 2007. Vol: 239. Núm: 2. Pág. 311-342.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
EXISTENCE OF EXPONENTIALLY ATTRACTING STATIONARY SOLUTIONS FOR DELAY EVOLUTION EQUATIONS. Discrete and Continuous Dynamical Systems. Series A. 2007. Vol: 18. Núm: 2-3. Pág. 271-293.
Caraballo-Garrido, Tomás;Crauel-,Hans;Langa-Rosado, José Antonio;Robinson-, James Cooper:
THE EFFECT OF NOISE ON THE CHAFEE-INFANTE EQUATION: A NONLINEAR CASE STUDY. Proceedings of the American Mathematical Society. 2007. Vol: 135. Núm: 2. Pág. 373-382.
Caraballo-Garrido, Tomás;Real-Anguas, José;Taniguchi-,Takeshi:
THE EXPONENTIAL STABILITY OF NEUTRAL STOCHASTIC DELAY PARTIAL DIFFERENTIAL EQUATIONS. Discrete and Continuous Dynamical Systems. Series A. 2007. Vol: 18. Núm: 2-3. Pág. 295-313.
Caraballo-Garrido, Tomás;Chueshov-,Igor;Kloeden-, Peter Eris:
SYNCHRONIZATION OF A STOCHASTIC REACTION-DIFFUSION SYSTEM ON A THIN TWO-LAYER DOMAIN. SIAM Journal on Mathematical Analysis. 2007. Vol: 38. Núm: 5. Pág. 1489-1507.
Caraballo-Garrido, Tomás;Chueshov-,Igor;Marín-Rubio, Pedro;Real-Anguas, José:
EXISTENCE AND ASYMPTOTIC BEHAVIOUR FOR STOCHASTIC HEAT EQUATIONS WITH MULTIPLICATIVE NOISE IN MATERIALS WITH MEMORY. Discrete and Continuous Dynamical Systems. Series A. 2007. Vol: 18. Núm: 2-3. Pág. 253-270.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
STABILITY OF NONLINEAR FUNCTIONAL STOCHASTIC EVOLUTION EQUATIONS OF SECOND ORDER IN TIME. Journal of Mathematical Sciences. 2006. Vol: 138. Núm: 1. Pág. 5377-5389.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Schmalfuss-, Björn:
STABILIZATION OF STATIONARY SOLUTIONS OF EVOLUTION EQUATIONS BY NOISE. Discrete and Continuous Dynamical Systems. Series B. 2006. Vol: 6. Núm: 6. Pág. 1199-1212.
Caraballo-Garrido, Tomás;Real-Anguas, José;Taniguchi-,Takeshi:
ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO STOCHASTIC THREE-DIMENSIONAL LAGRANGIAN AVERAGED NAVIER-STOKES EQUATIONS. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2006. Vol: 462. Núm: 2066. Pág. 459-479.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris:
THE PATHWISE NUMERICAL APPROXIMATION OF STATIONARY SOLUTIONS OF SEMILINEAR STOCHASTIC EVOLUTION EQUATIONS. Applied Mathematics & Optimization. 2006. Vol: 54. Núm: 3. Pág. 401-415.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Real-Anguas, José:
PULLBACK AND FORWARD ATTRACTORS FOR A 3D LANS-ALPHA ALPHA MODEL WITH DELAY. Discrete and Continuous Dynamical Systems. Series A. 2006. Vol: 15. Núm: 2. Pág. 559-578.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Real-Anguas, José:
DISCRETIZATION OF ASYMPTOTICALLY STABLE STATIONARY SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH A RANDOM STATIONARY DELAY. Journal of Dynamics and Differential Equations. 2006. Vol: 18. Núm: 4. Pág. 863-880.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Real-Anguas, José:
UNIQUE STRONG SOLUTIONS AND V-ATTRACTORS OF A THREE DIMENSIONAL SYSTEM OF GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS. . 2006. Vol: 6. Núm: 3. Pág. 411-436.
Caraballo-Garrido, Tomás:
Recent results on stabilization of PDEs by noise. Boletín de la Sociedad Española de Matemática Aplicada. 2006. Núm: 37. Pág. 47-70.
Caraballo-Garrido, Tomás;Lukaszewicz-,Grzegorz;Real-Anguas, José:
PULLBACK ATTRACTORS FOR NON-AUTONOMOUS 2D-NAVIER-STOKES EQUATIONS IN SOME UNBOUNDED DOMAINS. Academie des Sciences. Comptes Rendus. Mathematique. 2006. Vol: 342. Núm: 4. Pág. 263-268.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Real-Anguas, José:
THE ASYMPTOTIC BEHAVIOUR OF A STOCHASTIC 3D LANS-ALPHA MODEL. Applied Mathematics & Optimization. 2006. Vol: 53. Núm: 2. Pág. 141-161.
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Kloeden-, Peter Eris:
GLOBAL AND PULLBACK ATTRACTORS OF SET-VALUED SKEW PRODUCT FLOWS. ANNALI DI MATEMATICA PURA ED APPLICATA. 2006. Vol: 185. Núm: SUPPL. 5. Pág. S23-S45.
Caraballo-Garrido, Tomás;Lukaszewicz-,Grzegorz;Real-Anguas, José:
PULLBACK ATTRACTORS FOR ASYMPTOTICALLY COMPACT NON-AUTONOMOUS DYNAMICAL SYSTEMS. Nonlinear Analysis, Theory, Methods and Applications. 2006. Vol: 64. Núm: 3. Pág. 484-498.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris:
THE PERSISTENCE OF SYNCHRONIZATION UNDER ENVIRONMENTAL NOISE. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2005. Vol: 461. Núm: 2059. Pág. 2257-2267.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
ADDENDUM TO "GLOBAL ATTRACTORS FOR MULTIVALUED RANDOMNAMICAL SYSTEMS'' [NONLINEAR ANALYSIS 48(2002) 805-829]. Nonlinear Analysis, Theory, Methods and Applications. 2005. Vol: 61. Pág. 277-279.
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Valero-Cuadra, José:
AUTONOMOUS AND NON-AUTONOMOUS ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH DELAYS. Journal of Differential Equations. 2005. Vol: 208. Núm: 1. Pág. 9-41.
Caraballo-Garrido, Tomás;Chueshov-,Igor;Langa-Rosado, José Antonio:
EXISTENCE OF INVARIANT MANIFOLDS FOR COUPLED PARABOLIC AND HYPERBOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. Nonlinearity. 2005. Vol: 18. Núm: 2. Pág. 747-767.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
ASYMPTOTIC BEHAVIOUR OF MONOTONE MULTI-VALUED DYNAMICAL SYSTEMS. Dynamical Systems. 2005. Vol: 20. Núm: 3. Pág. 301-321.
Caraballo-Garrido, Tomás;Márquez-Durán, Antonio Miguel;Real-Anguas, José:
ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER-STOKES ALPHA-MODEL WITH FINITE DELAY. Stochastics and Dynamics. 2005. Vol: 5. Núm: 2. Pág. 189-200.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
ASYMPTOTIC BEHAVIOUR OF MONOTONE MULTI-VALUED DYNAMICAL SYSTEMS. Trabajos I+D. 2004. Vol: I-2004-25. Pág. 1-27.
Caraballo-Garrido, Tomás;Real-Anguas, José:
ATTRACTORS FOR 2D-NAVIER-STOKES MODELS WITH DELAYS. Journal of Differential Equations. 2004. Vol: 205. Núm: 2. Pág. 271-297.
Caraballo-Garrido, Tomás;Robinson-, James Cooper:
STABILISATION OF LINEAR PDES, BY STRATONOVICH NOISE. Systems & Control Letters. 2004. Vol: 53. Núm: 1. Pág. 41-50.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Real-Anguas, José:
PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS. Stochastics and Dynamics. 2004. Vol: 4. Núm: 3. Pág. 405-423.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Schmalfuss-, Björn:
EXPONENTIALLY STABLE STATIONARY SOLUTIONS FOR STOCHASTIC EVOLUTION EQUATIONS AND THEIR PERTURBATION. Applied Mathematics & Optimization. 2004. Vol: 50. Núm: 3. Pág. 183-207.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Schmalfuss-, Björn:
ASYMPTOTIC BEHAVIOUR OF NON-TRIVIAL STATIONARY SOLUTIONS OF STOCHASTIC FUNCTIONAL EVOLUTION EQUATIONS. Natsional'na Akademiya Nauk Ukrainy. Dopovidi. 2004. Vol: 2004. Núm: 6. Pág. 39-42.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
STOCHASTIC STABILIZATION OF DIFFERENTIAL SYSTEMS WITH GENERAL DECAY RATE.. Systems & Control Letters. 2003. Vol: 48. Núm: 5. Pág. 397-406.
Caraballo-Garrido, Tomás;Real-Anguas, José:
ASYMPTOTIC BEHAVIOUR OF TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS WITH DELAYS. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2003. Vol: 459. Núm: 2040. Pág. 3181-3194.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
ON THE RELATIONSHIP BETWEEN SOLUTIONS OF STOCHASTIC AND RANDOM DIFFERENTIAL INCLUSIONS. Stochastic Analysis and Applications. 2003. Vol: 21. Núm: 3. Pág. 545-557.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
ON THE UPPER SEMICONTINUITY OF COCYCLE ATTRACTORS FOR NON- AUTONOMOUS AND RANDOM DYNAMICAL SYSTEMS. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. 2003. Vol: 10. Núm: 4. Pág. 491-513.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Kapustyan-,Alexei;Melnik-,Valery S.;Valero-Cuadra, José:
ON GLOBAL ATTRACTORS FROM ``$-INFTY$'' OF MULTIVALUED DYNAMICAL PROCESSES IN TOPOLOGICAL SPACES. Natsional'na Akademiya Nauk Ukrainy. Dopovidi. 2003. Núm: 3. Pág. 7-10.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
ASYMPTOTIC STABILITY OF NONLINEAR STOCHASTIC EVOLUTION EQUATIONS. Stochastic Analysis and Applications. 2003. Vol: 21. Núm: 2. Pág. 301-327.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Melnik-,Valery S.;Valero-Cuadra, José:
PULLBACK ATTRACTORS OF NONAUTONOMOUS AND STOCHASTIC MULTIVALUED DYNAMICAL SYSTEMS. Set-Valued Analysis. 2003. Vol: 11. Núm: 2. Pág. 153-201.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
THE DIMENSION OF ATTRACTORS OF NONAUTONOMOUS PARTIAL DIFFERENTIAL EQUATIONS. The ANZIAM Journal. 2003. Vol: 45. Pág. 207-222.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
THE EXPONENTIAL BEHAVIOUR OF NONLINEAR STOCHASTIC FUNCTIONAL EQUATIONS OF SECOND ORDER IN TIME. Stochastics and Dynamics. 2003. Vol: 3. Núm: 2. Pág. 169-186.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Marín-Rubio, Pedro:
WEAK PULLBACK ATTRACTORS OF SETVALUED PROCESSES. Journal of Mathematical Analysis and Applications. 2003. Vol: 288. Núm: 2. Pág. 692-707.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Melnik-,Valery S.;Valero-Cuadra, José:
ATTRACTORS OF NONAUTONOMOUS AND STOCHASTIC DIFFERENTIAL INCLUSIONS. Akademiya Nauk Ukraisnkoi SSR Doklady. 2003. Núm: 2. Pág. 7-14.
Caraballo-Garrido, Tomás;Kloeden-, Peter Eris;Langa-Rosado, José Antonio:
ATRACTORES GLOBALES PARA SISTEMAS DIFERENCIALES NO AUTÓNOMOS. CUBO, MATEMÁTICA EDUCACIONAL. 2003. Vol: 5. Núm: 2. Pág. 305-329.
Caraballo-Garrido, Tomás;Marín-Rubio, Pedro;Robinson-, James Cooper:
A COMPARISON BETWEEN TWO THEORIES FOR MULTI-VALUED SEMIFLOWS AND THEIR ASYMPTOTIC BEHAVIOUR. Set-Valued Analysis. 2003. Vol: 11. Núm: 3. Pág. 297-322.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Taniguchi-,Takeshi:
THE EXPONENTIAL BEHAVIOUR AND STABILIZABILITY OF STOCHASTIC 2D-NAVIER-STOKES EQUATIONS. Journal of Differential Equations. 2002. Vol: 179. Núm: 2. Pág. 714-737.
Caraballo-Garrido, Tomás;Garrido-Atienza, María José;Real-Anguas, José:
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR DELAY STOCHASTIC EVOLUTION EQUATIONS. Stochastic Analysis and Applications. 2002. Vol: 20. Núm: 6. Pág. 1225-1256.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
GLOBAL ATTRACTORS FOR MULTIVALUED RANDOM DYNAMICAL SYSTEMS. Nonlinear Analysis, Theory, Methods and Applications. 2002. Vol: 48. Núm: 6. Pág. 805-829.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
COMPARISON OF THE LONG-TIME BEHAVIOR OF LINEAR ITO AND STRATONOVICH PARTIAL DIFFERENTIAL EQUATIONS. Stochastic Analysis and Applications. 2001. Vol: 19. Núm: 2. Pág. 183-195.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Robinson-, James Cooper:
ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS. Journal of Mathematical Analysis and Applications. 2001. Vol: 260. Núm: 2. Pág. 421-438.
Caraballo-Garrido, Tomás;Real-Anguas, José:
NAVIER-STOKES EQUATIONS WITH DELAYS. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2001. Vol: 457. Núm: 2014. Pág. 2441-2453.
Caraballo-Garrido, Tomás:
NONLINEAR PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS: EXISTENCE AND STABILITY. Journal of Mathematical Analysis and Applications. 2001. Vol: 262. Núm: 1. Pág. 87-111.
Caraballo-Garrido, Tomás;Liu-,Kai:
ASYMPTOTIC EXPONENTIAL STABILITY FOR DIFFUSION PROCESSES DRIVEN BY STOCHASTIC DIFFERENTIAL EQUATIONS IN DUALS OF NUCLEAR SPACES. Publications of the Research Institute for Mathematical Sciences. 2001. Vol: 37. Núm: 3. Pág. 239-254.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Robinson-, James Cooper:
A STOCHASTIC PITCHFORK BIFURCATION IN A REACTION-DIFFUSION EQUATION. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2001. Vol: 457. Núm: 2013. Pág. 2041-2061.
Caraballo-Garrido, Tomás:
ON THE EXISTENCE, UNIQUENESS AND EXPONENTIAL STABILITY FOR NONLINEAR PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS. Natsional'na Akademiya Nauk Ukrainy. Dopovidi. 2001. Núm: 10. Pág. 26-33.
Caraballo-Garrido, Tomás;Liu-,Kai;Mao-,Xuerong:
ON STABILIZATION OF PARTIAL DIFFERENTIAL EQUATIONS BY NOISE. Nagoya mathematical journal. 2001. Vol: 161. Pág. 155-170.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
GLOBAL ATTRACTORS FOR MULTIVALUED RANDOM DYNAMICAL SYSTEMS GENERATED BY RANDOM DIFFERENTIAL INCLUSIONS WITH MULTIPLICATIVE NOISE. Journal of Mathematical Analysis and Applications. 2001. Vol: 260. Núm: 2. Pág. 602-622.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
APPROXIMATIONS OF ATTRACTORS FOR MULTIVALUED RANDOM DYNAMICAL SYSTEMS. International journal of mathematics, game theory, and algebra. 2001. Vol: 11. Núm: 4. Pág. 67-92.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Valero-Cuadra, José:
GLOBAL ATTRACTORS FOR MULTIVALUED RANDOM SEMIFLOWS GENERATED BY RANDOM DIFFERENTIAL INCLUSIONS WITH ADDITIVE NOISE. Academie des Sciences. Comptes Rendus. Mathematique. 2001. Vol: 332. Núm: 2. Pág. 131-136.
Caraballo-Garrido, Tomás:
ON THE DECAY RATE OF SOLUTIONS OF NONAUTONOMOUS DIFFERENTIAL SYSTEMS. Electronic Journal Of Differential Equations. 2001. Vol: 2001. Núm: 5. Pág. 1-17.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Robinson-, James Cooper:
STABILITY AND RANDOM ATTRACTORS FOR A REACTION-DIFFUSION EQUATION WITH MULTIPLICATIVE NOISE. Discrete and Continuous Dynamical Systems. Series A. 2000. Vol: 6. Núm: 4. Pág. 875-892.
Caraballo-Garrido, Tomás;Liu-,Kai;Truman-,Aubrey:
STOCHASTIC FUNCTIONAL PARTIAL DIFFERENTIAL EQUATIONS: EXISTENCE, UNIQUENESS AND ASYMPTOTIC DECAY PROPERTY. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2000. Vol: 456. Núm: 1999. Pág. 1775-1802.
Caraballo-Garrido, Tomás;Liu-,Kai:
ON EXPONENTIAL STABILITY CRITERIA OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. Stochastic Processes and Their Applications. 1999. Vol: 83. Núm: 2. Pág. 289-301.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio:
TRACKING PROPERTIES OF TRAJECTORIES ON RANDOM ATTRACTING SETS. Stochastic Analysis and Applications. 1999. Vol: 17. Núm: 3. Pág. 339-358.
Caraballo-Garrido, Tomás;Liu-,Kai:
EXPONENTIAL STABILITY OF MILD SOLUTIONS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH DELAYS. Stochastic Analysis and Applications. 1999. Vol: 17. Núm: 5. Pág. 743-763.
Caraballo-Garrido, Tomás;Langa-Rosado, José Antonio;Robinson-, James Cooper:
UPPER SEMICONTINUITY OF ATTRACTORS FOR SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS. Communications in Partial Differential Equations. 1998. Vol: 23. Núm: 9-10. Pág. 1557-1581.
Caraballo-Garrido, Tomás;Real-Anguas, José:
ON THE PATHWISE EXPONENTIAL STABILITY OF NONLINEAR STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS. Stochastic Analysis and Applications. 1994. Vol: 12. Núm: 5. Pág. 517-525.
Caraballo-Garrido, Tomás:
NON-LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH DELAYS: EXISTENCE AND UNIQUENESS OF SOLUTIONS. Extracta Mathematicae. 1991. Vol: 6. Núm: 2 Y 3. Pág. 148-151.
Caraballo-Garrido, Tomás:
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NON-LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. Collectanea Mathematica. 1991. Vol: 42. Núm: 1. Pág. 51-74.
Caraballo-Garrido, Tomás:
ASYMPTOTIC EXPONENTIAL STABILITY OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH DELAY. Stochastics and Stochastics Reports. 1990. Vol: 33. Pág. 27-47.
Caraballo-Garrido, Tomás:
ECUACIONES EN DERIVADAS PARCIALES CON PERTURBACIONES ESTOCÁSTICAS. Extracta Mathematicae. 1989. Vol: 4. Núm: 3. Pág. 133-135.
Caraballo-Garrido, Tomás:
CONDICIONES SUFICIENTES DE ESTABILIDAD PARA ECUACIONES EN DERIVADAS PARCIALES ESTOCÁSTICAS CON RETARDOS. Collectanea Mathematica. 1988. Vol: 39. Pág. 97-114.

Tesis dirigidas o codirigidas

Galadí-garcía, Javier Alejandro:
Dynamical systems applied to consciousness and brain rhythms in a neural network. Tesis Doctoral. 2020
Xu, Jiaohui:
A contribution to the analysis of time fractional stochastic functional partial differential equations and applications. Tesis Doctoral. 2020
Pereira Da Silva, Alex:
Resolubility of linear Cauchy problems on Fre¿chet spaces and a delayed Kaldor¿s model. Tesis Doctoral. 2019
(Doctorando no grabado):
Resolubility of linear Cauchy problems on Fre¿chet spaces and a delayed Kaldor¿s model. Tesis Doctoral. 2019
Liu, Linfang:
Análisis de sistemas dinámicos infinito-dimensionales asociados a ecuaciones en derivadas parciales funcionales. Tesis Doctoral. 2018
López-de-la-Cruz, Javier:
Sistemas dinámicos en modelos estocásticos con ruido fraccionario. Tesis Doctoral. 2018
Herrera-Cobos, Marta:
Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales. Tesis Doctoral. 2016
Jara-Pérez, Juan Carlos:
Caracterización de los atractores en sistemas dinámicos no autónomos. Tesis Doctoral. 2014
Aragao-costa, Eder Ritis:
DESCOMPOSICIÓN DE MORSE PARA SISTEMAS GRADIENTES EN DIMENSIÓN INFINITA. Tesis Doctoral. 2012
Anguiano, María:
ATRACTORES PARA EDP PARABÓLICAS NO LINEALES Y NO AUTÓNOMAS EN DOMINIOS NO ACOTADOS. Tesis Doctoral. 2011
Felipe Rivero:
ATRACTORES PULLBACK: EXISTENCIA Y ESTRUCTURA PARA UNA ECUACION DE ONDAS CON AMORTIGUAMIENTO NO AUTONOMO. Tesis Doctoral. 2011
Márquez-Durán, Antonio Miguel:
CONTRIBUCIÓN AL ESTUDIO DE ALGUNOS MODELOS REGIDOS POR ECUACIONES DE EVOLUCIÓN NO AUTÓNOMAS Y/O ESTOCÁSTICAS.. Tesis Doctoral. 2005
Marín-Rubio, Pedro:
EXISTENCIA, UNICIDAD Y COMPORTAMIENTO ASINTÓTICO EN ALGUNOS SISTEMAS DINÁMICOS DETERMINISTAS Y ESTOCÁSTICOS. Tesis Doctoral. 2003
Garrido-Atienza, María José:
ALGUNOS RESULTADOS DE EXISTENCIA, UNICIDAD Y ESTABILIDAD PARA EDP FUNCIONALES ESTOCÁSTICAS NO LINEALES. Tesis Doctoral. 2002
Langa-Rosado, José Antonio:
COMPORTAMIENTO ASINTOTICO FINITO DIMENSIONAL DE SISTEMAS DINAMICOS ALEATORIOS. Tesis Doctoral. 1998