Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
This paper is concerned with the existence and asymptotic stability in the \,p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given by Grimmer a...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/28993 |
| Acceso en línea: | http://hdl.handle.net/11441/28993 https://doi.org/10.1214/ECP.v19-3036 |
| Access Level: | acceso abierto |
| Palabra clave: | resolvent operators C0-semigroup impulsive stochastic neutral partial functional integro-differential equations Wiener process mild solution asymptotic stability |
| Sumario: | This paper is concerned with the existence and asymptotic stability in the \,p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given by Grimmer and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achieve the required result. An example is provided to illustrate the theory developed in this work. |
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