Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 351, Issue 1, Pages 500-512Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2013.04.009
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Funding
- National Natural Science Foundations of China [60974025, 60939003]
- National 863 Plan Project [2008AA04Z401, 2009AA043404]
- Natural Science Foundation of Shandong Province [Y 2007G30]
- Natural Science Foundation of Guangxi Autonomous Region [2012GXNSFBA053003]
- Scientific and Technological Project of Shandong Province [2007GG3WZ04016]
- Natural Scientific Research Innovation Foundation in Harbin Institute of Technology [HIT.NSRIF.2001120]
- China Postdoctoral Science Foundation [20100481000]
- Shandong Provincial Key Laboratory of Industrial Control Technique (Qingdao University)
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This paper is denoted to investigating stability in mean of partial Variables for stochastic reaction-diffusion equations with Markovian switching (SRDEMS). By transforming the integral of the trajectory with respect to spatial variables as the solution of the stochastic ordinary differential equations with Markovian switching (SODEMS) and using Ito formula, sufficient criteria on uniform stability in mean, asymptotic stability in mean, uniformly asymptotic stability, in mean, exponential stability in mean of partial variables for SRDEMS are first derived. An example is presented to illustrate the effectiveness and efficiency of the obtained results. (C) 2013 Published by Elsevier Ltd. on behalf of The Franklin Institute
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