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Stability of Impulsive Stochastic Neutral Partial Differential Equations With Infinite Delays
Authors:Feng Jiang  Yi Shen
Affiliation:1. Department of Control Science and Engineering, Key Laboratory of Ministry of Eduction for Image Processing and Intelligent Control, Huazhong University of Science and Technology, , Wuhan, China;2. School of Statistics and Mathematics, Zhongnan University of Economics and Law, , Wuhan, China
Abstract:In this paper, we study the existence and asymptotic stability in the pth moment of the mild solutions to impulsive stochastic neutral partial differential equations with infinite delays. Sufficient conditions ensuring the stability of the impulsive stochastic system are established. The results are obtained via the Banach fixed point theorem.
Keywords:Asymptotic stability  mild solution  impulsive stochastic neutral partial differential equations  infinite delay
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