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OALib Journal期刊
ISSN: 2333-9721
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Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations

Keywords: Existence and uniqueness , exponential stability , mild solution , impulsive stochastic neutral equations

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Abstract:

In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a mild solution. Also the exponential p-stability of a mild solution and its sample paths are obtained.

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