New periodic solutions with a prescribed energy for a class of Hamiltonian systems

被引:1
|
作者
Li, Fengying [1 ]
Lv, Ying [2 ]
Zhang, Shiqing [3 ]
机构
[1] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 61130, Peoples R China
[2] Southwest Univ, Dept Math & Stat, Chongqing 400715, Peoples R China
[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源
BOUNDARY VALUE PROBLEMS | 2017年
关键词
second order Hamiltonian systems; C-2 periodic solutions; constrained variational minimizing methods; ORBITS;
D O I
10.1186/s13661-017-0761-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a class of second order Hamiltonian systems with a C-2 potential function. The existence of new periodic solutions with a prescribed energy is established by the use of constrained variational methods.
引用
收藏
页数:8
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