Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains

The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite delays, in an unbounded domain. The assumptions imposed do not ensure uniqueness of...

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Detalles Bibliográficos
Autores: Anguiano Moreno, María, Caraballo Garrido, Tomás, Real Anguas, José
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/24721
Acceso en línea:http://hdl.handle.net/11441/24721
https://doi.org/10.1142/S0218127413500429
Access Level:acceso abierto
Palabra clave:Delayed reaction-diffusion equations
Integro-differential equations with memory
Pullback attractors
Multivalued non-autonomous dynamical systems
Asymptotic behavior
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spelling Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domainsAnguiano Moreno, MaríaCaraballo Garrido, TomásReal Anguas, JoséDelayed reaction-diffusion equationsIntegro-differential equations with memoryPullback attractorsMultivalued non-autonomous dynamical systemsAsymptotic behaviorThe main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite delays, in an unbounded domain. The assumptions imposed do not ensure uniqueness of solutions of the corresponding initial value problems. The theory of set-valued non-autonomous dynamical systems is applied to prove the existence of pullback attractors for our model. To do this, we first analyse an abstract version of the equation.Ecuaciones Diferenciales y Análisis Numérico2013info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/24721https://doi.org/10.1142/S0218127413500429reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésInternational Journal of Bifurcation and Chaos, 23(3), 1350042-1-1350042-2410.1142/S0218127413500429http://dx.doi.org/10.1142/S0218127413500429info:eu-repo/semantics/openAccessoai:idus.us.es:11441/247212026-06-17T12:51:07Z
dc.title.none.fl_str_mv Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
title Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
spellingShingle Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
Anguiano Moreno, María
Delayed reaction-diffusion equations
Integro-differential equations with memory
Pullback attractors
Multivalued non-autonomous dynamical systems
Asymptotic behavior
title_short Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
title_full Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
title_fullStr Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
title_full_unstemmed Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
title_sort Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
dc.creator.none.fl_str_mv Anguiano Moreno, María
Caraballo Garrido, Tomás
Real Anguas, José
author Anguiano Moreno, María
author_facet Anguiano Moreno, María
Caraballo Garrido, Tomás
Real Anguas, José
author_role author
author2 Caraballo Garrido, Tomás
Real Anguas, José
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Delayed reaction-diffusion equations
Integro-differential equations with memory
Pullback attractors
Multivalued non-autonomous dynamical systems
Asymptotic behavior
topic Delayed reaction-diffusion equations
Integro-differential equations with memory
Pullback attractors
Multivalued non-autonomous dynamical systems
Asymptotic behavior
description The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite delays, in an unbounded domain. The assumptions imposed do not ensure uniqueness of solutions of the corresponding initial value problems. The theory of set-valued non-autonomous dynamical systems is applied to prove the existence of pullback attractors for our model. To do this, we first analyse an abstract version of the equation.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/24721
https://doi.org/10.1142/S0218127413500429
url http://hdl.handle.net/11441/24721
https://doi.org/10.1142/S0218127413500429
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv International Journal of Bifurcation and Chaos, 23(3), 1350042-1-1350042-24
10.1142/S0218127413500429
http://dx.doi.org/10.1142/S0218127413500429
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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