STABILITY OF THE MILD SOLUTION OF STOCHASTIC NONLINEAR EVOLUTION DIFFERENTIAL EQUATIONS

STABILITY OF THE MILD SOLUTION OF STOCHASTIC NONLINEAR EVOLUTION DIFFERENTIAL EQUATIONS

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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.

作者 Ren Yong Hu Lanying Xia Ningmao

机构地区 Dept. of Math. Dept. of Math.

出处《Annals of Differential Equations》 2006年第2期185-191,共7页 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).

关键词 STABILITY mild solution nonlinear SDE stability mild solution nonlinear SDE

分类号 O17 [理学—基础数学]

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Annals of Differential Equations

2006年第2期

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STABILITY OF THE MILD SOLUTION OF STOCHASTIC NONLINEAR EVOLUTION DIFFERENTIAL EQUATIONS

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