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Zbl 1166.60037
Sakthivel, R.; Luo, J.
Asymptotic stability of impulsive stochastic partial differential equations with infinite delays. (English)
[J] J. Math. Anal. Appl. 356, No. 1, 1-6 (2009). ISSN 0022-247X

Summary: We study the existence and asymptotic stability in $p$th moment of mild solutions to nonlinear impulsive stochastic partial differential equations with infinite delay. By employing a fixed point approach, sufficient conditions are derived for achieving the required result. These conditions do not require the monotone decreasing behaviour of the delays.
MSC 2000:
*60H15 Stochastic partial differential equations

Keywords: asymptotic stability; mild solution; impulsive stochastic equations; infinite delay

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