| 具有线性位势的非自治二阶Hamilton系统的周期解 |
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| 引用本文： | 郭东霞,侯敬花,尹红梅.具有线性位势的非自治二阶Hamilton系统的周期解[J].河北理工学院学报,2009(1). |
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| 作者姓名： | 郭东霞 侯敬花 尹红梅 |
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| 作者单位： | 中南大学数学科学与计算技术学院; |
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| 摘 要： | 通过使用临界点理论中的极大极小的方法研究了具有线性位势的非自治的二阶Hamilton系统,并获得了两个周期解的存在定理。
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| 关 键 词： | 周期解 临界点 鞍点定理 二阶非自治系统 |
Periodic Solutions for Nonautomous Second Order Systems with Linear Potencials |
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| GUO Dong-xia,HOU Jing-hua,YIN Hong-mei.Periodic Solutions for Nonautomous Second Order Systems with Linear Potencials[J].Journal of Hebei Institute of Technology,2009(1). |
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| Authors: | GUO Dong-xia HOU Jing-hua YIN Hong-mei |
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| Institution: | Department of Mathematic Science and Computing Technology;Central South University;Changsha Hunan 410083;China |
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| Abstract: | In the paper,the non-autonomous second order systems with linear potentials are studied by the minimax methods in critical point theory and existence theorems of periodic solutions are obtained. |
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| Keywords: | periodic solutions critical point the Saddle Point Theorem non-autonomous second-order system |
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