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

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  • Yanbo Li
  • Yonggui Kao

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.

Suggested Citation

  • Yanbo Li & Yonggui Kao, 2012. "Stability of Stochastic Reaction-Diffusion Systems with Markovian Switching and Impulsive Perturbations," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-13, October.
  • Handle: RePEc:hin:jnlmpe:429568
    DOI: 10.1155/2012/429568
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