Geodesic
Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification : 35R60, 60H15, 35B35, 35A01
Keywords: existence and uniqueness, exponential stability, mild solution, impulsive stochastic neutral equations 
@article{EJDE_2013__2013__a1,
     author = {He,  Danhua and Xu,  Liguang},
     title = {Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1290.60064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a1/}
}
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AU  - Xu,  Liguang
TI  - Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a1/
LA  - en
ID  - EJDE_2013__2013__a1
ER  - 
%0 Journal Article
%A He,  Danhua
%A Xu,  Liguang
%T Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a1/
%G en
%F EJDE_2013__2013__a1
He,  Danhua; Xu,  Liguang. Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a1/