Periodic Solutions for Some Second Order Hamiltonian Systems
首发时间:2009-02-27
Abstract: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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一些二阶Hamiltonian系统的周期解
摘要:我们利用Benci-Rabinowitz 及Silva 的鞍点定理来研究一些没有任何对称性的二阶Hamiltonian守恒系统的给定能量的周期解的存在性.证明的关键困难是证明 Palais-Smale 条件和极小极大临界点的非常值性质.
关键词: 二阶Hamiltonian系统 周期解 鞍点定理
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No.2975339786712357****
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