مقاله

almost sure exponential stability of stochastic reaction diffusion systems with markovian jump

چکیده

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.

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