P-attracting and p-invariant sets for a class of impulsive stochastic functional differential equations

Authors:
Liguang Xu;Daoyi Xu
Affiliations:
Yangtze Center of Mathematics, Sichuan University, Chengdu, 610064, PR China;Yangtze Center of Mathematics, Sichuan University, Chengdu, 610064, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

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ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I

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Abstract

In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing an L-operator differential inequality and stochastic analysis technique, we obtain the p-attracting set and p-invariant set of the impulsive stochastic functional differential equation. An example is also discussed to illustrate the efficiency of the obtained results.