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Zbl 1177.93075
Chen, Huabin
Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays. (English)
[J] Stat. Probab. Lett. 80, No. 1, 50-56 (2010). ISSN 0167-7152

Summary: By establishing an impulsive-integral inequality, some sufficient conditions about the exponential stability in $p$ $(p\geq 2)$-moment of mild solution for impulsive stochastic partial differential equation with delays are obtained. The results in {\it T. Caraballo} and {\it K. Liu} [Stochastic Anal. Appl. 17, No.~5, 743--763 (1999; Zbl 0943.60050)] and {\it J. Luo} [J. Math. Anal. Appl. 342, 753--760 (2008; Zbl 1157.60065)] are generalized and improved.

MSC 2000:: *93E03 General theory of stochastic systems
60H15 Stochastic partial differential equations
60H15 Stochastic partial differential equations
93E15 Stochastic stability

Keywords: impulsive-integral inequality; exponential stability; impulsive stochastic partial differential equation with delays

Citations: Zbl 0943.60050; Zbl 1157.60065

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