一类非线性哈密顿系统的周期解 |
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引用本文: | 肖玉明. 一类非线性哈密顿系统的周期解[J]. 数学学报, 2008, 51(6): 1205-121 |
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作者姓名: | 肖玉明 |
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作者单位: | 南开大学陈省身数学研究所 |
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摘 要: | 结合Maslov指标理论,利用环绕定理证明了一类非线性哈密顿系统的周期解的存在性,而这类哈密顿系统所对应的作用泛函可能不满足Palais-Smale条件.
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关 键 词: | 临界点 周期解 哈密顿系统 |
收稿时间: | 2006-11-16 |
修稿时间: | 2007-12-13 |
Periodic Solutions for a Class of Nonlinear Hamiltonian Systems |
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Affiliation: | Chern Institute of Mathematics, Nankaiuniversity |
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Abstract: | In thispaper, combining with the Maslov index theory we use the linkingtheorem to obtain the periodic solutions for a class of nonlinearHamiltonian systems, of which the corresponding action functionalsmay not satisfy the Palais-Smale condition. |
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Keywords: | critical points periodic solutions Hamiltonian systems |
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