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

页数：8

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