摘要
本文研究一类含非定线性项的二阶Ｈａｍｉｌｔｏｎ系统多周期解问题．在位势函数满足超二次齐次条件下，利用临界点理论中对称型越山定理，证明了系统存在无穷多个给定周期的周期解．
This paper deals with the multiplicity result of periodic solutions for a class of second order Hamiltonian systems with non definite linear term. Under the superquadratic hypothesis on potential, we prove the systems possess infinitely many solutions with prescibed period by applying the Symmetric mountain pass Theorem.
关键词
哈密顿系统
周期解
位势函数
second order Hamiltonian systems, multiple periodic solutions, critical point theory.
