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