Danhua He, Liguang Xu
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.
Submitted September 4, 2010. Published April 5, 2013.
Math Subject Classifications: 35R60, 60H15, 35B35, 35A01.
Key Words: Existence and uniqueness; exponential stability; mild solution; impulsive stochastic neutral equations.
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| Danhua He |
Department of Mathematics
Zhejiang International Studies University
Hangzhou, 310012, China
| Liguang Xu |
Department of Applied Mathematics
Zhejiang University of Technology
Hangzhou, 310023, China
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