Some Existence Results on Periodic and Generalized Periodic Solutions for Singular Hamiltonian Systems

被引:0
作者
蒋美跃 [1 ]
机构
[1] Department of Mathematics, Peking University Beijing, China
关键词
Some Existence Results on Periodic and Generalized Periodic Solutions for Singular Hamiltonian Systems;
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摘要
In this paper, we use the variational method to study the existence of periodicand generalized periodic solutions of planar second order Hamiltonian systems when a singularpotential is present. The results obtained are applied to the study of generalized periodic solutionsof the Restricted Three-Body Problem and the Planar n-Body Problem.
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页码:129 / 138
页数:10
相关论文
共 3 条
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蒋美跃 .
Science Bulletin, 1988, (20) :1679-1681
[2]   A CLASS OF PERIODIC SOLUTIONS OF THE N-BODY PROBLEM [J].
Zelati, Vittorio Coti .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1989, 46 (02) :177-186
[3]  
Critical points with lack of compactness and singular dynamical systems[J] . Antonio Ambrosetti,Vittorio Coti Zelati.Annali di Matematica Pura ed Applicata . 1987 (1)