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Asymptotic stability of neutral stochastic functional integro-differential equations with impulses. (English) Zbl 1308.93212
Summary: 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.

93E15 Stochastic stability in control theory
34K50 Stochastic functional-differential equations
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
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