二阶具变号位势的离散Hamilton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,长沙410205

出　　处：《重庆工商大学学报（自然科学版）》2010年第3期209-212,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：高等学校博士学科点专项科研基金(20061078002)

摘　　要：利用环绕定理研究一类二阶具变号位势的离散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,然后用环绕定理证得临界点的存在性,得到一系列存在性定理.The existence of periodic solutions of a class of second order discrete Hamiltonian systems with potential changing sign is studied by using Linking theorem,and a series of new theorems is 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 环绕定理 临界点 

分 类 号：O177.91[理学—数学]