ON THE PARTIAL EQUIASYMPTOTIC STABILITY OF NONLINEAR TIME-VARYING DIFFERENTIAL EQUATIONS

• 作者: JiangMinghui JianJigui ShenYanjun
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 时间变量偏微分方程 LYAPUNOV函数 等值渐近 稳定性
• 年，卷（期）: 2005,（1）
• 页码范围: 8-13
• 页数: 6页
• 分类号: O175.21

摘要

In this paper, the problem of partial equiasymptotic stability for nonlinear time-varying differential equations are analyzed. A sufficient condition of partial stability and a set of sufficient conditions of partial equiasymptotic stability are given. Some of these conditions allow the derivative of Lyapunov function to be positive. Finally, several numerical examples are also given to illustrate the main results.