Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

<p>Abstract</p> <p>This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential equations in a real separable Hilbert space. We study also some properties of square-mean almost automorphic fun...

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Bibliographic Details
Main Authors: N&apos;Gu&#233;r&#233;kata Gaston, Chang Yong-Kui, Zhao Zhi-Han
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Advances in Difference Equations
Subjects:
Stochastic differential equations
Square-mean almost automorphic processes
Mild solutions
Online Access:http://www.advancesindifferenceequations.com/content/2011/1/9
Description
Summary:<p>Abstract</p> <p>This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential equations in a real separable Hilbert space. We study also some properties of square-mean almost automorphic functions including a compostion theorem. To establish our main results, we use the Banach contraction mapping principle and the techniques of fractional powers of an operator.</p> <p> <b>Mathematics Subject Classification (2000)</b> </p> <p>34K14, 60H10, 35B15, 34F05.</p>
ISSN:1687-1839
1687-1847

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