| 一类非自治二阶哈密顿系统周期解的存在性 |
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| 引用本文： | 王少敏 熊明 茶国智. 一类非自治二阶哈密顿系统周期解的存在性[J]. 渝州大学学报(自然科学版), 2008, 25(1): 5-8 |
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| 作者姓名： | 王少敏 熊明 茶国智 |
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| 作者单位： | [1]大理学院数学与计算机学院,云南大理671000 [2]大理学院物电学院,云南大理671000 |
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| 基金项目： | 国家自然科学基金资助项目（10561011）;云南省科委应用基础项目（2006A0089M）. |
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| 摘 要： | 研究了一类非自治二阶哈密顿系统周期解的存在性，给出了一些新的存在性条件，在这些新的条件下，通过使用最小作用原理获得了3个新的存在性定理．
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| 关 键 词： | 周期解 临界点 极小化 |
| 文章编号： | 1672-058X（2008）01-0005-04 |
| 收稿时间： | 2007-09-13 |
| 修稿时间： | 2007-10-12 |
Existence of periodic non - autonomous second solutions for a class of order Hamiltonian Systems |
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| WANG Shao - min, XIONG Ming, CHA Guo - zhi. Existence of periodic non - autonomous second solutions for a class of order Hamiltonian Systems[J]. Journal of Yuzhou University(Natural Sciences Edition), 2008, 25(1): 5-8 |
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| Authors: | WANG Shao - min XIONG Ming CHA Guo - zhi |
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| Affiliation: | WANG Shao - min, XIONG Ming, CHA Guo - zhi ( 1. Department of Mathematics and Computer, Dali University, Yunnan Dali 671000; 2. Department of Physics and Electronic Information, Dali University, Yunnan Dali 671000, China) |
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| Abstract: | Existence of periodic solutions for a class of non - autonomous second order Hamihonian systems is studied. Some new existence conditions are obtained. Three new existence theorems are obtained by using the least action principle under new conditions. |
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| Keywords: | periodic solutions critical point minimization |
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