Article
Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
Author/s | Diop, Mamadou Abdoul
Caraballo Garrido, Tomás |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2015 |
Deposit Date | 2015-09-29 |
Published in |
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Abstract | 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 ... 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. |
Citation | Diop, M.A. y Caraballo Garrido, T. (2015). Asymptotic stability of neutral stochastic functional integro-di?erential equations with impulses. Electronic Communications in Probability, 20 (1), 1-13. |
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