ASYMPTOTIC BEHAVIOR OF DYNAMIC EQUATIONS ON A PERIODIC TIME SCALES

• 作者: Liu Ailian Zhu Siming
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 时间标度 周期性 渐进线 动态方程 稳定性
• 年，卷（期）: 2005,（4）
• 页码范围: 569-579
• 页数: 11页
• 分类号: O17

摘要

<正>We first prove some basic results on the periodic time scales, then on a special but practical periodic time scales T =∪[k(a + b),k(a + b) + a], the asymptotic behavior of x△ = px is explored with specific emphasis given to how the graininess of the time scales affects stability. At last, we analyze the asymptotic properties of the solutions of planar linear dynamic system, and obtain some sufficient conditions for the stability of the equalibium (0,0).