| 一类非凸自治二阶Hamilton系统的极小周期解 |
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| 引用本文： | 张世清. 一类非凸自治二阶Hamilton系统的极小周期解[J]. 南开大学学报(自然科学版), 1994, 0(2): 89-91 |
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| 作者姓名： | 张世清 |
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| 作者单位： | 南开数学研究所，重庆大学数学系 |
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| 摘 要： | 本文通过比较泛函的极小临界点和平凡临界点的Ｍｏｒｓｅ指标，得到一个关于非凸自治二阶Ｈａｍｉｌｔｏｎ系统非常值极小周期解的存在性定理。
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| 关 键 词： | 二阶Hamilton系统；Morse指标；极小周期解 |
THE MINIMAL PERIODIC SOLUTIONS OF A CLASS OF NONCONVEX AUTONOMOVS SECOND ORDER HAMILTONIAN SYSTEMS |
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| Zhang Shiqing. THE MINIMAL PERIODIC SOLUTIONS OF A CLASS OF NONCONVEX AUTONOMOVS SECOND ORDER HAMILTONIAN SYSTEMS[J]. Acta Scientiarum Naturalium University Nankaiensis, 1994, 0(2): 89-91 |
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| Authors: | Zhang Shiqing |
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| Abstract: | In this paper,by comparing the Morse indexes of the critical points corresponding to the minimal value and the trivial value of the variational function,the existence of the minimal periodic solutions for a class of nonconvex autonomous second order Hamiltonian systems are discussed. |
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| Keywords: | second order Hamiltonian system Morse index minimal periodic solution |
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