具变号位势的二阶离散哈密顿系统的周期解  

Periodic Solutions for Second Order Discrete Hamiltonian Systems with Potential Changing Sign

作　　者：邓小青[1] 

机构地区：[1]湖南商学院信息学院

出　　处：《科学技术与工程》2010年第16期3935-3937,共3页Science Technology and Engineering

基　　金：高等学校博士学科点专项科研基金(20061078002)资助

摘　　要：利用山路引理研究一类具变号位势的二阶离散Hamilton系统的周期解的存在性。首先将该类离散Hamilton系统的周期解的存在性转化为适当函数空间上对应泛函的临界点的存在性,然后用山路引理证得临界点的存在性,得到一个存在性定理。The existence of periodic solutions of a class of second order discrete Hamiltonian systems with potential changing sign is studied by using Mountain Pass Theorem,and a series of new theorems are obtained by changing the existence of periodic solutions into the existence of critical points of the corresponding functional on suitable function space.

关 键 词：周期解 二阶离散Hamilton系统 变号位势 山路引理 临界点 

分 类 号：O177.92[理学—数学]