Stability of Stochastic Reaction-Diffusion Systems with Markovian Switching and Impulsive Perturbations

Abstract EN

This paper is devoted to investigating mean square stability of a class of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations.

Based on Lyapunov functions and stochastic analysis method, some new criteria are established.

Moreover, a class of semilinear stochastic impulsive reaction-diffusion differential equations with Markovian switching is discussed and a numerical example is presented to show the effectiveness of the obtained results.