%0 Journal Article
%T Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Liu, Jun
%D 2014
%\ 06/01/2014
%V 40
%N 3
%P 619-629
%! Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump
%K Markovian jump
%K almost sure exponential stability
%K stochastic reaction diffusion system
%K Ito differential formula
%R
%X 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.
%U http://bims.iranjournals.ir/article_519_891f0ad28cefb412975dd1830d236797.pdf