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

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

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...

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Bibliographic Details
Main Author: Paul H. Bezandry
Format: Article
Language:English
Published: Texas State University 2012-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Stochastic differential equation
stochastic processes
almost periodic
Wiener process
Online Access:http://ejde.math.txstate.edu/Volumes/2012/156/abstr.html
Description
Summary: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.
ISSN:1072-6691

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