Asymptotic Behavior of Second-Order Impulsive Partial Stochastic Functional Neutral Integrodifferential Equations with Infinite Delay
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Date
2017
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University of Nis, Faculty of Sciences and Mathematics
Abstract
In this paper, the existence and asymptotic stability in p-th moment of mild solutions to a class of second-order impulsive partial stochastic functional neutral integrodifferential equations with infinite delay in Hilbert spaces is considered. By using Hölder’s inequality, stochastic analysis, fixed point strategy and the theory of strongly continuous cosine families with the Hausdor measure of noncompactness, a new set of sufficient conditions is formulated which guarantees the asymptotic behavior of the nonlinear second-order stochastic system. These conditions do not require the the nonlinear terms are assumed to be Lipschitz continuous. An example is also discussed to illustrate the efficiency of the obtained results.
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Keywords
asymptotic stability, p-th moment
Citation
Yan, Z., Jia, X. (2017) Asymptotic Behavior of Second-Order Impulsive Partial Stochastic Functional Neutral Integrodifferential Equations with Infinite Delay. Filomat, Vol. 31, No. 9, pp. 2727-2748. https://www.jstor.org/stable/26195005