@article { author = {Liu, Jun}, title = {Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {3}, pages = {619-629}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {The 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.}, keywords = {Markovian jump,almost sure exponential stability,stochastic reaction diffusion system,Ito differential formula}, url = {http://bims.iranjournals.ir/article_519.html}, eprint = {http://bims.iranjournals.ir/article_519_891f0ad28cefb412975dd1830d236797.pdf} }