| 一类二阶非自治Hamilton系统的周期解 |
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| 引用本文： | 何小飞,陈国平,谢景力. 一类二阶非自治Hamilton系统的周期解[J]. 吉首大学学报(自然科学版), 2010, 31(6): 14-18 |
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| 作者姓名： | 何小飞 陈国平 谢景力 |
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| 作者单位： | （吉首大学数学与计算机科学学院，湖南 吉首 416000） |
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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 周期解 |
Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems |
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| HE Xiao-fei,CHEN Guo-ping,XIE Jing-li. Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems[J]. Journal of Jishou University(Natural Science Edition), 2010, 31(6): 14-18 |
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| Authors: | HE Xiao-fei CHEN Guo-ping XIE Jing-li |
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| Affiliation: | (College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China) |
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| Abstract: | By making use of the least action principle and the saddle point theorem in critical point theory.The existence of periodic solutions is studied for some non-autonomous second order Hamiltonian systems in the cases of and linear growth the sublinear growth.Some new solvability conditions are obtained. |
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| Keywords: | non-autonomous second order Hamiltonian systems the least action principle saddle point theorem sublinear growth linear growth periodic solutions |
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