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2015 Asymptotic stability of neutral stochastic functional integro-differential equations with impulses
Mamadou Diop, Tomàs Caraballo
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Electron. Commun. Probab. 20: 1-13 (2015). DOI: 10.1214/ECP.v19-3036

Abstract

This paper is concerned with the existence and asymptotic stability in the \,$p$-th moment ofmild 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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Mamadou Diop. Tomàs Caraballo. "Asymptotic stability of neutral stochastic functional integro-differential equations with impulses." Electron. Commun. Probab. 20 1 - 13, 2015. https://doi.org/10.1214/ECP.v19-3036

Information

Accepted: 2 January 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1308.93212
MathSciNet: MR3304407
Digital Object Identifier: 10.1214/ECP.v19-3036

Subjects:
Primary: 93E15
Secondary: 34K50, 60H15

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