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.
出处
《纯粹数学与应用数学》
CSCD
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)
关键词
哈密尔顿系统
周期解
超线性
对称型山路引理
Hamiltonian systems, periodic solutions, superlinear, symmetric version mountain pass theorem
