STABILITY OF THE MILD SOLUTION OF STOCHASTIC NONLINEAR EVOLUTION DIFFERENTIAL EQUATIONS

• 作者: Hu Lanying Ren Yong Xia Ningmao
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 稳定性 温和解 非线性SDE 随机非线性演化
• 年，卷（期）: 2006,（2）
• 页码范围: 185-191
• 页数: 7页
• 分类号: O17

摘要

<正>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.