Periodic solutions for some second order Hamiltonian systems

被引：14
|
作者：
Zhang, Shiqing [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
NONLINEARITY | 2009年 / 22卷 / 09期
关键词：
PRESCRIBED ENERGY; CLOSED ORBITS; FIXED ENERGY; THEOREMS;
D O I：
10.1088/0951-7715/22/9/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the saddle point theorem of Benci-Rabinowitz to study the existence of periodic solutions with a fixed energy for second order Hamiltonian conservative systems without any symmetry; the key difficulty of the proof is proving the Palais-Smale condition and the non-constant property for the minimax critical point.
引用
收藏
页码：2141 / 2150
页数：10
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