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2011•Unpublished venueRequires access

Stability analysis of stochastic partial differential equations with delays and Poisson jumps

Ling Chen, Min Chen, Lifang Guo

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Abstract

In this paper, we investigate a class of stochastic partial differential equations with delays and Poisson jumps. To the best of the author's knowledge, up to now, the exponential stability problem for this class of new systems has not been solved since Poisson jumps are considered. The main object of this paper is to fill the gap. We study the pth moment exponential stability for the considered system by using the fixed point theory. In particular, our results improve and generalize those results obtained in [1],[5].

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What this paper is about

In this paper, we investigate a class of stochastic partial differential equations with delays and Poisson jumps. To the best of the author's knowledge, up to now, the exponential stability problem for this class of new systems has not been solved since Poisson jumps are considered. The main object of this paper is to fill the gap. We study the pth moment exponential stability for the considered system by using the fixed point theory. In particular, our results improve and generalize those results obtained in [1],[5].

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Available abstract

In this paper, we investigate a class of stochastic partial differential equations with delays and Poisson jumps. To the best of the author's knowledge, up to now, the exponential stability problem for this class of new systems has not been solved since Poisson jumps are considered. The main object of this paper is to fill the gap. We study the pth moment exponential stability for the considered system by using the fixed point theory. In particular, our results improve and generalize those results obtained in [1],[5].

Key concepts: Poisson distribution, Partial differential equation, Mathematics, Applied mathematics, Stability (learning theory), Class (philosophy), Exponential stability, Exponential function

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