| 一类两自由度非线性振动系统的概周期解 |
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| 引用本文： | 刘俊,李正彪.一类两自由度非线性振动系统的概周期解[J].四川师范大学学报(自然科学版),2007,30(5):602-605. |
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| 作者姓名： | 刘俊 李正彪 |
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| 作者单位： | 曲靖师范学院,数学系,云南,曲靖,655011 |
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| 基金项目： | 云南省自然科学基金;云南省教育厅资助项目 |
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| 摘 要： | 运用Leray-Schauder不动点定理和Liapunov函数方法,研究了一类两自由度非线性振动系统的概周期解,得到了该振动系统概周期解存在的充分条件.
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| 关 键 词： | 振动系统 概周期解 Liapunov函数 |
| 文章编号： | 1001-8395（2007）05-0602-04 |
| 收稿时间： | 2006-06-07 |
| 修稿时间： | 2006年6月7日 |
The Almost Periodic Solution for a Class of Two-Degree-of-Freedom Nonlinear Oscillating Systems |
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| LIU Jun,LI Zheng-biao.The Almost Periodic Solution for a Class of Two-Degree-of-Freedom Nonlinear Oscillating Systems[J].Journal of Sichuan Normal University(Natural Science),2007,30(5):602-605. |
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| Authors: | LIU Jun LI Zheng-biao |
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| Institution: | Department of Mathematics, Qujing Normal College, Qujing 655011, Yunnan |
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| Abstract: | In this paper,the almost periodic solution for a class of two-degree-of-freedom nonlinear oscillating systems 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 oscillating systems is obtained. |
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| Keywords: | Oscillating system Almost periodic solution Liapunov function |
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