| 一类二阶Hamiltonian系统的无穷多周期解 |
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| 引用本文： | 裴瑞昌,李海合.一类二阶Hamiltonian系统的无穷多周期解[J].纯粹数学与应用数学,2009,25(4):690-694. |
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| 作者姓名： | 裴瑞昌 李海合 |
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| 作者单位： | 天水师范学院数学与统计科学学院,甘肃,天水,741001 |
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| 摘 要： | 研究一类超线性二阶Hamiltonian系统,且非线性项是奇的,不需要假设Ambros-etti-Rabinowitz的超二次条件,利用对称型山路引理得到无穷多周期解存在性结果.
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| 关 键 词： | 哈密尔顿系统 周期解 超线性 对称型山路引理 |
Infinitely periodic solutions for a class second-order Hamiltonian systems |
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| PEI Rui-chang,LI Hai-he.Infinitely periodic solutions for a class second-order Hamiltonian systems[J].Pure and Applied Mathematics,2009,25(4):690-694. |
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| Authors: | PEI Rui-chang LI Hai-he |
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| Institution: | PEI Rui-chang,LI Hai-he (College of Mathematical , Statistical Science,Tianshui Normal University,Tianshui 741001,China) |
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| Abstract: | In this paper,we consider a class superlinear second order Hamiltonian systems,where the nonlinearity is odd.Under no Ambrosetti-Rabinowitz's super quadratic condition,infinitely periodic solutions are obtained by using symmetric version mountain pass theorem. |
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| Keywords: | Hamiltonian systems periodic solutions superlinear symmetric version mountain pass theorem |
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