Electron. J. Diff. Equ., Vol. 2012 (2012), No. 156, pp. 1-21.

Existence of almost periodic solutions for semilinear stochastic evolution equations driven by fractional Brownian motion

Paul H. Bezandry

Abstract:
This article concerns the existence of almost periodic solutions to a class of abstract stochastic evolution equations driven by fractional Brownian motion in a separable real Hilbert space. Under some sufficient conditions, we establish the existence and uniqueness of a pth-mean almost periodic mild solution to those stochastic differential equations.

Submitted May 4, 2012. Published September 7, 2012.
Math Subject Classifications: 60H05, 60H15, 34G20, 43A60.
Key Words: Stochastic differential equation; stochastic processes; almost periodic; Wiener process.

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

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