Periodic Solutions for Some Second Order Hamiltonian Systems

Zhang Shiqing

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Periodic Solutions for Some Second Order Hamiltonian Systems

Zhang Shiqing *

Sichuan University

*Correspondence author

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Funding: 国家自然科学基金,教育部博士点基金（No.,）

Opened online:27 February 2009

Accepted by: none

Citation: Zhang Shiqing.Periodic Solutions for Some Second Order Hamiltonian Systems [OL]. [27 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29753

We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry,the key difficulty of the proof is proving Palais-Smale condition and the nonconstant property for the minimax critical point.

Keywords:Second order Hamiltonian systems;Periodic solutions;Saddle point theorems

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