Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions

In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations with infinite delays when the uniqueness of solutions for these equations is not required. Our results are obtained by means of the theory of set-valued random dynamical systems...

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Autores: Caraballo Garrido, Tomás, Garrido Atienza, María José, Schmalfuss, Björn, Valero Cuadra, José
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23643
Acceso en línea:http://hdl.handle.net/11441/23643
https://doi.org/10.3934/dcdsb.2010.14.439
Access Level:acceso abierto
Palabra clave:Multivalued non-autonomous and random dynamical systems
pullback and random attractors
functional stochastic equations
conjugacy method
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spelling Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutionsCaraballo Garrido, TomásGarrido Atienza, María JoséSchmalfuss, BjörnValero Cuadra, JoséMultivalued non-autonomous and random dynamical systemspullback and random attractorsfunctional stochastic equationsconjugacy methodIn this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations with infinite delays when the uniqueness of solutions for these equations is not required. Our results are obtained by means of the theory of set-valued random dynamical systems and their conjugation properties.Ecuaciones Diferenciales y Análisis Numérico2010info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/23643https://doi.org/10.3934/dcdsb.2010.14.439reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete and Continuous Dynamical Systems. Series B, 14(2), 439-455info:eu-repo/semantics/openAccessoai:idus.us.es:11441/236432026-06-17T12:51:07Z
dc.title.none.fl_str_mv Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
title Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
spellingShingle Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
Caraballo Garrido, Tomás
Multivalued non-autonomous and random dynamical systems
pullback and random attractors
functional stochastic equations
conjugacy method
title_short Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
title_full Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
title_fullStr Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
title_full_unstemmed Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
title_sort Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Garrido Atienza, María José
Schmalfuss, Björn
Valero Cuadra, José
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Garrido Atienza, María José
Schmalfuss, Björn
Valero Cuadra, José
author_role author
author2 Garrido Atienza, María José
Schmalfuss, Björn
Valero Cuadra, José
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Multivalued non-autonomous and random dynamical systems
pullback and random attractors
functional stochastic equations
conjugacy method
topic Multivalued non-autonomous and random dynamical systems
pullback and random attractors
functional stochastic equations
conjugacy method
description In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations with infinite delays when the uniqueness of solutions for these equations is not required. Our results are obtained by means of the theory of set-valued random dynamical systems and their conjugation properties.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/23643
https://doi.org/10.3934/dcdsb.2010.14.439
url http://hdl.handle.net/11441/23643
https://doi.org/10.3934/dcdsb.2010.14.439
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems. Series B, 14(2), 439-455
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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score 15,300724

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