一类非自治二阶哈密顿系统周期解的存在性和多重性  

Existence and Multiplicity of Periodic Solutions for the Non-Autonomous Second-Order Hamiltonian Systems

作　　者：陈玉松 张艳敏[1] Chen Yusong;Zhang Yanmin(Department of Basic,Shangqiu Institute of Technology,Shangqiu Henan 476000)

机构地区：[1]商丘工学院基础部,河南商丘476000

出　　处：《池州学院学报》2018年第6期25-27,共3页Journal of Chizhou University

基　　金：河南省教育科学"十三五"规划课题([2017]-JKGHYB-0280);商丘工学院校级青年科研基金项目(2018XKQ01)

摘　　要：在非线性函数F满足适当的条件下,利用极小作用定理得到了一类非自治二阶哈密顿系统周期解的存在性和多重性.与以往的条件相比,值得提出的是非线性函数F的要求更弱了.Under suitable assumptions on nonlinear function F,the existence and multiplicity of periodic solutions for the non-autonomous second-order Hamiltonian systems is obtained by using the least action principle.Compared with the previous condition,the value presented is weaker condition on nonlinear function F.

关 键 词：周期解 二阶哈密顿系统 SOBOLEV不等式 WIRTINGER不等式 

分 类 号：O177[理学—数学]