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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