Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40320140601Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump619629519ENJun LiuDepartment of Mathematics, Jining UniversityJournal Article20120617The stochastic reaction diffusion systems may suffer sudden shocks, in order to explain this phenomena, we use Markovian jumps to model stochastic reaction diffusion systems. In this paper, we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps. Under some reasonable conditions, we show that the trivial solution of stochastic reaction diffusion systems with Markovian jumps is almost surely exponentially stable. An example is given to illustrate the theory.http://bims.iranjournals.ir/article_519_891f0ad28cefb412975dd1830d236797.pdf