文献类型：期刊文献

中文题名：STABILITY OF THE MILD SOLUTION OF STOCHASTIC NONLINEAR EVOLUTION DIFFERENTIAL EQUATIONS

英文题名：STABILITY OF THE MILD SOLUTION OF STOCHASTIC NONLINEAR EVOLUTION DIFFERENTIAL EQUATIONS

作者：Ren Yong[1,2];Hu Lanying[2];Xia Ningmao[1]

机构：[1]Dept. of Math., East China University of Science and Technology, Shanghai 200237;[2]Dept. of Math., Anhui Normal University, Wuhu 241000

年份：2006

卷号：22

期号：2

起止页码：185

中文期刊名：Annals of Differential Equations

外文期刊名：微分方程年刊（英文版）

基金：'Project supported by the RSPYT of Anhui Province (2004jqll6 and 2005jql044)the NSF of Anhui Educational Bureau (2006KJ251B).

语种：英文

中文关键词：stability; mild solution; nonlinear SDE

外文关键词：stability; mild solution; nonlinear SDE

摘要：In this paper, we consider the stability problem associated with the mild solutions of stochastic nonlinear evolution differential equations in Hilbert space under hypothesis which is weaker than Lipschitz condition. And the result is established by employing the Ito-type inequality and the extension of the Bihari＇s inequality.
In this paper, we consider the stability problem associated with the mild solutions of stochastic nonlinear evolution differential equations in Hilbert space under hypothesis which is weaker than Lipschitz condition. And the result is established by employing the Ito-type inequality and the extension of the Bihari＇s inequality.