Mean square stability of impulsive stochastic reaction diffusion systems

2011 ◽  
Author(s):  
Qi Luo ◽  
Yutian Zhang
Keyword(s):  
Reaction Diffusion ◽  
Mean Square ◽  
Reaction Diffusion Systems ◽  
Mean Square Stability ◽  
Diffusion Systems ◽  
Stochastic Reaction

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

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Yanbo Li ◽  
Yonggui Kao
Keyword(s):  
Lyapunov Functions ◽  
Reaction Diffusion ◽  
Markovian Switching ◽  
Analysis Method ◽  
Reaction Diffusion Systems ◽  
Mean Square Stability ◽  
Diffusion Systems ◽  
Impulsive Perturbations ◽  
Stochastic Reaction ◽  
New Criteria

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.

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