| 一类二阶非线性微分方程一致渐进稳定的概周期解的存在性 |
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| 引用本文： | 倪华,李医民.一类二阶非线性微分方程一致渐进稳定的概周期解的存在性[J].河南科学,2007,25(5):696-700. |
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| 作者姓名： | 倪华 李医民 |
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| 作者单位： | 江苏大学,理学院,江苏,镇江,212013 |
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| 基金项目： | 江苏省教育厅自然科学基金 |
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| 摘 要： | 利用指数型二分性理论和Lyapunov函数法研究二阶非线性微分系统概周期解的存在性和稳定性,得到了该系统一致渐进稳定的概周期解的存在性的一个充分性条件.
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| 关 键 词： | 二阶非线性微分方程 指数型二分性 Lyapunov函数法 概周期解 一致渐进稳定 |
| 文章编号： | 1004-3918（2007）05-0696-05 |
| 修稿时间： | 2007-03-25 |
The Uniformly Asymptotical Stability of Almost Periodic Solution for Second Order Nonlinear Differential Equation |
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| NI Hua,LI Yi-min.The Uniformly Asymptotical Stability of Almost Periodic Solution for Second Order Nonlinear Differential Equation[J].Henan Science,2007,25(5):696-700. |
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| Authors: | NI Hua LI Yi-min |
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| Institution: | Faculy of Science,Jiangsu University,Zhenjiang 212013,China |
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| Abstract: | By using the theory of exponential dichotomy and second method of Lyapunov,we study the existence and stability of almost periodic solution of second order nonlinear differential equation,and obtain the sufficient condition of the existence of Uniformly Asymptotical Stable almost periodic solution for the system.the results we obtain are new. |
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| Keywords: | second order nonlinear differential equation exponential dichotomy second method of Lyapunov almost periodic solution uniformly asymptotical stability |
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