Asymptotic stability of impulsive stochastic partial differential equations with infinite delays. (English) Zbl 1166.60037

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.


60H15 Stochastic partial differential equations (aspects of stochastic analysis)
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