Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations

被引：37

作者：

Chang, Yong-Kui ^{[1
,2
]}

Zhao, Zhi-Han ^{[1
]}

N'Guerekata, G. M. ^{[3
]}

Ma, Ruyun ^{[2
]}

机构：

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

[2] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 02期

基金：

中国博士后科学基金;

关键词：

Stepanov-like almost automorphy; Square-mean almost automorphy; Stochastic differential equations; ALMOST-PERIODIC SOLUTIONS; MILD SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2010.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new concept of Stepanov-like almost automorphy (or S-2-almost automorphy) for stochastic processes. We use the results obtained to investigate the existence and uniqueness of a Stepanov-like almost automorphic mild solution to a class of nonlinear stochastic differential equations in a real separable Hilbert space. Our main results extend some known ones in the sense of square-mean almost automorphy. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1130 / 1139

页数：10

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