Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay

Sufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x t = Ax tdt + B(xp(t)) dwt are given. The assumptions on the operators A and B are essentially the same as in the case without delay. In addition, our deduction also shows an alter...

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Author: Caraballo Garrido, Tomás
Format: article
Publication Date:1990
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23648
Online Access:http://hdl.handle.net/11441/23648
https://doi.org/10.1080/17442509008833662
Access Level:Open access
Keyword:Stochastic partial differential equation with delay
semigroups
Wiener process
pathwise asymptotic stability
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spelling Asymptotic Exponential Stability of Stochastic Partial Differential Equations with DelayCaraballo Garrido, TomásStochastic partial differential equation with delaysemigroupsWiener processpathwise asymptotic stabilitySufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x t = Ax tdt + B(xp(t)) dwt are given. The assumptions on the operators A and B are essentially the same as in the case without delay. In addition, our deduction also shows an alternative proof for some of the results in this case. In fact, the crucial difference is that we do not use the operator P employed by Haussmann and Ichikawa.Ecuaciones Diferenciales y Análisis Numérico1990info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/23648https://doi.org/10.1080/17442509008833662reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésStochastics and Stochastics Reports, 33 27-47http://www.tandfonline.com/doi/10.1080/17442509008833662info:eu-repo/semantics/openAccessoai:idus.us.es:11441/236482026-06-17T12:51:07Z
dc.title.none.fl_str_mv Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
title Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
spellingShingle Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
Caraballo Garrido, Tomás
Stochastic partial differential equation with delay
semigroups
Wiener process
pathwise asymptotic stability
title_short Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
title_full Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
title_fullStr Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
title_full_unstemmed Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
title_sort Asymptotic Exponential Stability of Stochastic Partial Differential Equations with Delay
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
author_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Stochastic partial differential equation with delay
semigroups
Wiener process
pathwise asymptotic stability
topic Stochastic partial differential equation with delay
semigroups
Wiener process
pathwise asymptotic stability
description Sufficient conditions for pathwise asymptotic exponential stability of the solution of the stochastic PDE with delay d x t = Ax tdt + B(xp(t)) dwt are given. The assumptions on the operators A and B are essentially the same as in the case without delay. In addition, our deduction also shows an alternative proof for some of the results in this case. In fact, the crucial difference is that we do not use the operator P employed by Haussmann and Ichikawa.
publishDate 1990
dc.date.none.fl_str_mv 1990
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/23648
https://doi.org/10.1080/17442509008833662
url http://hdl.handle.net/11441/23648
https://doi.org/10.1080/17442509008833662
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Stochastics and Stochastics Reports, 33 27-47
http://www.tandfonline.com/doi/10.1080/17442509008833662
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 15,198674

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