奇异哈密顿系统的周期解(英文)

Periodic solutions of singular Hamiltonian systems

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摘要应用Cerami-Palais-Smale条件下的Bahri-Rabinowitz极小极大方法,作者研究了一类给定能量的二阶奇异哈密顿系统在没有对称性条件下的新周期解的存在性.该结果推广了Tanaka的相应结果. In this paper, the minimax method of Bahri Rabinowitz with Cerami Palais Smale condition is applied to study the existence of new periodic solutions with a prescribed energy for a class of singular second order Hamiltonian systems without any symmetry. The results obtained generalizes a result of Tanaka.

作者唐姗姗

机构地区四川大学数学学院

出处《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第2期267-272,共6页 Journal of Sichuan University(Natural Science Edition)

关键词奇异哈密顿系统周期解Bahri-Rabinowitz极小极大方法 Cerami-Palais-Smale条件 singular Hamiltonian systems, periodic solutions, Bahri Rabinowitz＇s minimax method, Cerami Palais Smale condition

分类号 O175.08 [理学—基础数学]

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四川大学学报（自然科学版）

2012年第2期

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奇异哈密顿系统的周期解(英文)

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