The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations

In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. This kind of equations arises in problems related to coupled oscillators in a noisy environment, or in viscoeslas...

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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Real Anguas, José, Taniguchi, Takeshi
Formato: artículo
Fecha de publicación:2007
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23725
Acesso em linha:http://hdl.handle.net/11441/23725
https://doi.org/10.3934/dcds.2007.18.295
Access Level:acceso abierto
Palavra-chave:Neutral stochastic partial differential equations
existence of solutions
ultimate boundedness
exponential stability
Descrição
Resumo:In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. This kind of equations arises in problems related to coupled oscillators in a noisy environment, or in viscoeslastic materials under random or stochastic influences.