吉林大学学报（理学版）2013，Vol.51Issue(1)：57-63,7.
一类非自治二阶哈密顿系统的周期解
Periodic Solutions for a Class of Nonautonomous Second Order Hamiltonian Systems
摘要
Abstract
The authors studied the existence of periodic solutions for a class of nonautonomous second order Hamiltonian systems {ü(t)=▽F(t,u(t)), u(0)-u(T)=.u(0)-.u(T)=0.Some new existence theorems for periodic solutions were obtained via the least action principle and the minimax methods as F=F1 +F2 satisfied some boundary conditions.关键词
哈密顿系统/周期解/鞍点定理/最小作用原理/(PS)条件Key words
Hamiltonian systems/ periodic solution/ saddle point theorem/ the least action principle/(PS) condition分类
数理科学引用本文复制引用
吴越,安天庆..一类非自治二阶哈密顿系统的周期解[J].吉林大学学报（理学版）,2013,51(1):57-63,7.基金项目
国家自然科学基金(批准号:10871059). （批准号:10871059）
