| 一类次二次Hamilton系统周期解的存在性 |
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| 引用本文： | 陈越奋,叶凯莉.一类次二次Hamilton系统周期解的存在性[J].信阳师范学院学报(自然科学版),2011,24(1):15-17. |
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| 作者姓名： | 陈越奋 叶凯莉 |
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| 作者单位： | 1. 信阳师范学院数学与信息科学学院,河南,信阳,464000
2. 信阳师范学院经济管理学院,河南,信阳,464000 |
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| 基金项目： | 河南省教育厅科技计划项目，信阳师范学院青年基金自然科学研究项目 |
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| 摘 要： | 研究一类含非定线性项的二阶Hamilton系统周期解问题.在位势函数满足次二次条件下,减弱了位势函数相应的条件,利用鞍点定理证明了系统周期解的存在性.
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| 关 键 词： | 次二次 C条件 鞍点定理 |
Existence of Periodic Solutions for a Class of Subquuadratic Hamiltonian Systems |
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| CHEN Yue-fen,YE Kai-li.Existence of Periodic Solutions for a Class of Subquuadratic Hamiltonian Systems[J].Journal of Xinyang Teachers College(Natural Science Edition),2011,24(1):15-17. |
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| Authors: | CHEN Yue-fen YE Kai-li |
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| Institution: | CHEN Yue-fena,YE Kai-lib(a.College of Mathematics and Information Science,b.College of Economy and Management,Xinyang Normal University,Xinyang 464000,China) |
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| Abstract: | The periodic solutions for a class of second order Hamiltonian systems with nondefinite linear term was studied.Under the subquadratic hypothesis which weakened the potential function corresponding condition,it is proved that the systems possess solutions with prescribed period by applying the saddle point theorem. |
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| Keywords: | subquadratic C condition saddle point thorem |
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