| 一类二阶非自治Hamilton系统的周期解 |
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| 引用本文： | 侯朵,张淑梅,胡娟.一类二阶非自治Hamilton系统的周期解[J].应用泛函分析学报,2012,14(1):71-78. |
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| 作者姓名： | 侯朵 张淑梅 胡娟 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙,410083 |
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| 摘 要： | 在线性增长和次线性增长条件下，利用临界点理论中的极小作用原理和鞍点定理，研究了二阶非自治Hamilton系统周期解的存在性问题，获得了一些新的可解性条件．
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| 关 键 词： | 二阶非自治Hamilton系统 极小作用原理 鞍点定理 次线性增长 线性增长 |
Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems |
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| HOU Duo
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ZHANG Shumei
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HU Juan.Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems[J].Acta Analysis Functionalis Applicata,2012,14(1):71-78. |
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| Authors: | HOU Duo ZHANG Shumei HU Juan |
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| Institution: | School of Mathematical Science and Computing Technology,Central South University,Changsha 410083 China |
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| Abstract: | By making use of the least action principle and the minimax methods,we study the existence of periodic solutions for some non-autonomous second order Hamiltonian systems in the cases of the sublinear growth and linear growth.Some new solvability conditions are obtained. |
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| Keywords: | non-autonomous second order Hamiltonian systems periodic solutions sublinear growth linear growth the least action principle saddle point theorem |
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