Electron. J. Diff. Equ., Vol. 2009(2009), No. 111, pp. 1-14.

Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations

Paul H. Bezandry, Toka Diagana

Abstract:
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.

Submitted May 1, 2009. Published September 10, 2009.
Math Subject Classifications: 34K14, 60H10, 35B15, 34F05.
Key Words: Stochastic differential equation; stochastic processes; quadratic-mean almost periodicity; Wiener process.

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Paul H. Bezandry
Department of Mathematics, Howard University
Washington, DC 20059, USA
email: pbezandry@howard.edu
Toka Diagana
Department of Mathematics, Howard University
Washington, DC 20059, USA
email: tdiagana@howard.edu

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