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

Yanbo Li and Yonggui Kao

Mathematical Problems in Engineering, 2012, vol. 2012, 1-13

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:429568

DOI: 10.1155/2012/429568

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