| NEHARI技巧在HAMILTON系统的极小周期解的存在性问题中的应用 |
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| 引用本文： | 张世清. NEHARI技巧在HAMILTON系统的极小周期解的存在性问题中的应用[J]. 重庆大学学报(社会科学版), 1995, 1(5) |
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| 作者姓名： | 张世清 |
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| 作者单位： | 重庆大学系统工程及应用数学系 重庆，630044 |
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| 摘 要： | 利用关于约束极值的Nehari技巧和完备Finsler流形上满足Palais-Smale条件的下有界连续可微泛函存在极小值点的定理,研究了非凸二次和超二次二阶Hamilton系统的极小周期解的存在性。
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| 关 键 词： | Nehari技巧 Hamilton系统 极小周期解 |
The Application of the Nehari Arguments to the Problems of the Existence about the Minimal Periodic Solutions of the Hamiltonian Systems |
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| Zhang Shiqing. The Application of the Nehari Arguments to the Problems of the Existence about the Minimal Periodic Solutions of the Hamiltonian Systems[J]. Journal of Chongqing University(Social Sciences Edition), 1995, 1(5) |
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| Authors: | Zhang Shiqing |
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| Affiliation: | Zhang Shiqing |
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| Abstract: | Using the Nehari argument about the constrained extreme values and the theorem that the functional defined on complete Finsler manifold and satisfying the Palais-Smale condition and having lower bound has a minimal value point,we study the existence of the minimal periodic solutions for nonconvex quadratic and superquadratic second order Hamiltonian systems. |
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| Keywords: | Nehari argument Hamiltonian systems minimal periodic solutions |
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