Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations
type: Item
instance of: scholarly article
title: Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations
zbMATH Open document ID: 1264.60045
DOI: 10.1155/2012/429568
author: Yanbo Li
author: Yonggui Kao
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 6173279
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/429568
OpenAlex ID: W2055813993
Wikidata QID: Q58911647
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description: scientific article; zbMATH DE number 6173279