||Asmptotic behavior of a class of impulsive partial stochastic functional neutral integrodifferential equations with infinite delay
BETE Kora Hafiz ,
MANE Aziz ,
Ogouyandjou Carlos ,
Diop Mamadou Abdoul ,
||Electronic Journal of Mathematical Analysis and Applications
||This paper is devoted to the existence and asymptotic behavior in p-th moment of the mild solution to a class of impulsive neutral stochastic functional integro-
differential equations with infinite delay in Hilbert spaces. A new and sufficient set of conditions are formulated concerning the existence of solutions and the stability.
of the nonlinear stochastic system. To obtain the desired result, the theory of the
resolvent operator in the sense of Grimmer, the stochastic analysis theory, the fixed
point theorem and the Hausdorff measure of non-compactness are used. However, it
is very important to specify that in this paper, we have left the classical framework
in which the nonlinear terms are assumed to be Lipschitz continuous. At the end of
this paper, an illustration is also given to show the application of our results.
||p-th moment stability, Neutral Impulsive Stochastic Functional Integro-differential Equations, Infinite delay, Hausdorff measure of non-compactness, Darbo’s fixed point
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