| 引用本文： |
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冯春华,庄兴义.一个二阶非线性微分方程概周期解的存在性[J].广西科学院学报,1994,(2):15-18. [点击复制]
- Feng Chunhua,Zhuang Xingyi.The Existence of Almost Periodic Solutions of Second Order Nonlinear Differential Equation[J].Journal of Guangxi Academy of Sciences,1994,(2):15-18. [点击复制]
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| 摘要: |
| 应用Leray-Schauder不动点定理,结合运用构造函数,研究了一类二阶非线性微分方程概周期解的存在性,得到了保证方程存在概周期解的一组充分条件。 |
| 关键词: 二阶非线性方程 Leray-Schauder不动点定理 函数 概周期解 |
| DOI： |
| 投稿时间：1993-04-02 |
| 基金项目: |
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| The Existence of Almost Periodic Solutions of Second Order Nonlinear Differential Equation |
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Feng Chunhua1, Zhuang Xingyi2
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| (1.Guanxi Normal UniverSity, Guilin, 541004;2.Wuzhou High Teacher-Training School, Hexian, 542800) |
| Abstract: |
| By using the Leray-Schauder fixed point theorem and the method of Liapunov's function, We investigate the ekistence of almost periodic solutions Of the second order nonlinear differential equation, a sufficient condition is obtained. |
| Key words: nonlinear differential equation Leray-Schauder fixed point theorem Liapunov's function almost periodic solution |
