Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays

Diop, Mamadou Abdoul; Caraballo Garrido, Tomás; Zene, Mahamat Mahamat

doi:10.1142/S0219493716500143

Artículo

dc.creator	Diop, Mamadou Abdoul	es
dc.creator	Caraballo Garrido, Tomás	es
dc.creator	Zene, Mahamat Mahamat	es
dc.date.accessioned	2017-01-24T13:11:20Z
dc.date.available	2017-01-24T13:11:20Z
dc.date.issued	2016-12
dc.identifier.citation	Diop, M.A., Caraballo Garrido, T. y Zene, M.M. (2016). Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays. Stochastics and Dynamics, 16 (6), 1650014-1-1650014-17.
dc.identifier.issn	0219-4937	es
dc.identifier.issn	1793-6799	es
dc.identifier.uri	http://hdl.handle.net/11441/52662
dc.description.abstract	In this work we study the existence, uniqueness and asymptotic behavior of mild solutions for neutral stochastic partial integrodifferential equations with infinite delays. To prove the results, we use the theory of resolvent operators as developed by R. Grimmer [12] R. Grimmer. Resolvent operators for integral equations in a banach space. Transactions of the American Mathematical Society, 273(1): 333-349, 1982, as well as a version of the fixed point principle. We establish sufficient conditions ensuring that the mild solutions are exponentially stable in pth-moment. An example is provided to illustrate the abstract results.	es
dc.description.sponsorship	Fondo Europeo de Desarrollo Regional	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.description.sponsorship	Consejería de Innovación, Ciencia y Empresa (Junta de Andalucía)	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	World Scientific Publishing	es
dc.relation.ispartof	Stochastics and Dynamics, 16 (6), 1650014-1-1650014-17.	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Resolvent operators	es
dc.subject	C0-semigroup	es
dc.subject	Neutral stochastic partial integrodifferential equations	es
dc.subject	Wiener process	es
dc.subject	Infinite delay	es
dc.subject	Mild solutions	es
dc.subject	Exponential stability	es
dc.title	Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO/MTM2011-22411	es
dc.relation.projectID	2010/FQM314	es
dc.relation.projectID	P12-FQM-1492	es
dc.relation.publisherversion	http://www.worldscientific.com/doi/pdf/10.1142/S0219493716500143	es
dc.identifier.doi	10.1142/S0219493716500143	es
dc.contributor.group	Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales	es
idus.format.extent	14 p.	es
dc.journaltitle	Stochastics and Dynamics	es
dc.publication.volumen	16	es
dc.publication.issue	6	es
dc.publication.initialPage	1650014-1	es
dc.publication.endPage	1650014-17	es

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