Electron. J. Diff. Equ., Vol. 2010(2010), No. 124, pp. 1-25.

Existence of square-mean almost periodic mild solutions to some nonautonomous stochastic second-order differential equations

Paul H. Bezandry, Toka Diagana

Abstract:
In this paper we use the well-known Schauder fixed point principle to obtain the existence of square-mean almost periodic solutions to some classes of nonautonomous second order stochastic differential equations on a Hilbert space.

Submitted May 4, 2010. Published August 30, 2010.
Math Subject Classifications: 34K14, 60H10, 35B15, 34F05.
Key Words: Stochastic differential equation; 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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