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Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps |
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| Authors: | Jing Cui Litan Yan Xichao Sun |
| Institution: | aCollege of Information Science and Technology, Donghua University, Shanghai, 201620, China;bDepartment of Mathematics, Anhui Normal University, 1 East Beijing Rd., Wuhu 241000, China;cDepartment of Mathematics, Donghua University, 2999 North Renmin Rd., Songjiang, Shanghai 201620, China |
| Abstract: | In this paper, we consider a class of neutral stochastic partial differential equations with delays and Poisson jumps. Sufficient conditions for the existence and exponential stability in mean square as well as almost surely exponential stability of mild solutions are derived by means of the Banach fixed point principle. An example is provided to illustrate the effectiveness of the proposed result. |
| Keywords: | MSC: primary 93E15 34K50 secondary 60H15 60J75 |
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