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Asymptotic stability of neutral stochastic partial differential delay equations with impulsive jump
Jiang Feng #,Shen Yi *,Zhu Song
Department of Control Science and Engineering, Huazhong University of Science and Technology
*Correspondence author
#Submitted by
Subject:
Funding: he project reported here was supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant（No.No. 20070487052）
Opened online: 1 July 2010
Accepted by: none
Citation: Jiang Feng,Shen Yi,Zhu Song.Asymptotic stability of neutral stochastic partial differential delay equations with impulsive jump[OL]. [ 1 July 2010] http://en.paper.edu.cn/en_releasepaper/content/4377023
 
 
Recently, according to the Lyapunov second method, the existence, uniqueness and stability of the solutions of stochastic differential equations have been considered by many authors. However, there are a number of difficulties encountered in the study of the stability of stochastic partial differential equations by the Lyapunov second method because Ito formula can not work. In this paper, by the Banach fixed point theorem，we study the existence and asymptotic stability in pth moment of the mild solutions to neutral stochastic partial differential delay equations with impulsive jump. Sufficient conditions ensuring the asymptotic stability of the neutral stochastic partial differential delay equations with impulsive jump are established. The main results obtained improve and generalize the earlier results.
Keywords:Asymptotic stability; Mild solution; Impulsive jump
 
 
 

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