一类二阶Hamiltonian系统的无穷多周期解  

Infinitely periodic solutions for a class second-order Hamiltonian systems

作　　者：裴瑞昌[1] 李海合[1] 

机构地区：[1]天水师范学院数学与统计科学学院,甘肃天水741001

出　　处：《纯粹数学与应用数学》2009年第4期690-694,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金(10371098)

摘　　要：研究一类超线性二阶Hamiltonian系统,且非线性项是奇的,不需要假设Ambros-etti-Rabinowitz的超二次条件,利用对称型山路引理得到无穷多周期解存在性结果.In this paper, we consider a class superlinear second order Hamiltonian systems, where the non- linearity is odd. Under no Ambrosetti-Rabinowitz＇s super quadratic condition, infinitely periodic solutions are obtained by using synunetric version mountain pass theorem.

关 键 词：哈密尔顿系统 周期解 超线性 对称型山路引理 

分 类 号：O175[理学—数学]