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

被引：5

作者：

Chang, Yong-Kui ^{[1
]}

Zhao, Zhi-Han ^{[1
]}

N'Guerekata, Gaston Mandata ^{[2
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

[2] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2011年

关键词：

Stochastic differential equations; Square-mean almost automorphic processes; Mild solutions; ALMOST-PERIODIC SOLUTIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2011-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：12

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