Mean square stability of impulsive stochastic reaction diffusion systems

Abstract

In this paper, based on Lyapunov function method and stochastic analysis theory, the stability of a class of impulsive stochastic reaction diffusion differential equations is investigated and some new criteria are obtained ensuring the mean square stability of trivial solution. As an application, a class of semi-linear stochastic impulsive reaction diffusion differential equations has been discussed to show the effectiveness of our results. This work is ended with an illustrative example demonstrating the valid of the provided criterion.