Electron. J. Diff. Eqns., Vol. 2007(2007), No. 117, pp. 1-10.

Square-mean almost periodic solutions nonautonomous stochastic differential equations

Paul H. Bezandry, Toka Diagana

Abstract:
This paper concerns the square-mean almost periodic solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space. Using the so-called "Acquistapace-Terreni" conditions, we establish the existence and uniqueness of a square-mean almost periodic mild solution to those nonautonomous stochastic differential equations.

Submitted May 1, 2007. Published September 2, 2007.
Math Subject Classifications: 34K14, 60H10, 35B15, 34F05.
Key Words: Stochastic differential equation; stochastic processes; square-mean almost periodic; Wiener process; Acquistapace-Terreni conditions.

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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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