一类二阶Hamilton系统周期解的存在性  

Existence of Periodic Solutions for a Class of Second Order Hamiltonian Systems

作　　者：陈越奋[1] 张留伟[1] 杨明海[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2009年第4期486-488,共3页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省科技计划项目(0611051800);河南省教育厅科技计划项目(2007110030)

摘　　要：研究一类含非定线性项的二阶Hamilton系统周期解问题.在位势函数满足次二次齐次条件下,利用临界点理论中的鞍点定理,证明了系统存在给定周期的周期解.This paper deals with the periodic solutions for a class of second order Hamiltonian systems with non definite linear term. Under the subquadratic hypothesis on potential, it is proved that the systems possess solutions with prescribed period by applying the saddle point theorem in critical point theory.

关 键 词：二阶HAMILTON系统 周期解 鞍点定理 

分 类 号：O175.12[理学—数学]