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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