Geodesic
Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations
Electronic journal of differential equations, Tome 2009 (2009)
In this paper we obtain the existence of quadratic-mean almost periodic solutions to some classes of partial hyperbolic stochastic differential equations. The main result of this paper generalizes in a natural fashion some recent results by authors. As an application, we consider the existence of quadratic-mean almost periodic solutions to the stochastic heat equation with divergence terms.
Classification : 34K14, 60H10, 35B15, 34F05
Keywords: stochastic differential equation, stochastic processes, quadratic-mean almost periodicity, Wiener process 
@article{EJDE_2009__2009__a129,
     author = {Bezandry,  Paul H. and Diagana,  Toka},
     title = {Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1185.35345},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a129/}
}
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Bezandry,  Paul H.; Diagana,  Toka. Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a129/