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Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations - MaRDI portal

Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations (Q1954768)

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scientific article; zbMATH DE number 6173279
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English
Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations
scientific article; zbMATH DE number 6173279

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    Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations (English)
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    11 June 2013
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    Summary: We investigate 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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