| 一类非线性微分方程的概周期解 |
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| 引用本文： | 刘俊,罗红英.一类非线性微分方程的概周期解[J].纯粹数学与应用数学,2008,24(2). |
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| 作者姓名： | 刘俊 罗红英 |
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| 作者单位： | 1. 曲靖师范学院数学系,云南,曲靖,655011
2. 曲靖师范学院初等教育学院,云南,曲靖,655011 |
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| 基金项目： | 国家自然科学基金，云南省自然科学基金，云南省教育厅资助项目，曲靖师范学院重点课程建设项目 |
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| 摘 要： | 运用Leray-Schauder不动点定理和Liapunov函数方法,研究了一类非线性微分方程的概周期解,得到了该微分方程概周期解存在的充分条件.
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| 关 键 词： | 微分方程 概周期解 Liapunov函数 |
The almost periodic solution for a class of nonlinear differential equation |
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| LIU Jun,LUO Hong-ying.The almost periodic solution for a class of nonlinear differential equation[J].Pure and Applied Mathematics,2008,24(2). |
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| Authors: | LIU Jun LUO Hong-ying |
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| Institution: | LIU Jun~1 LUO Hong-ying~2 1.Mathematics Department,Qujing Normal College,Qujing 655011,China,2.Elementary Education Department |
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| Abstract: | The almost periodic solution for a class of nonlinear differential equation is studied by using the Leray-Schauder fixed point theorem and the method of Liapunov function.The sufficient conditions which guarantee the existence of the almost periodic solution of the differential equation are obtained. |
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| Keywords: | differential equation almost periodic solution Liapunov function |
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