一类带有局部条件的二阶哈密尔顿系统周期解的多重性问题(英文)  

Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems with Locally Defined Potentials

作　　者：王明伟 郭飞 聂千千 Wang Mingwei;Guo Fei;Nie Qianqian(School of Mathematics, Tianjin University, Tianjin 300354, Chin)

机构地区：[1]天津大学数学学院,天津300354

出　　处：《南开大学学报（自然科学版）》2018年第2期86-91,共6页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the NNSF of China(11371276,10901118); Elite Scholar Program in Tianjin University

摘　　要：研究了带有局部条件的二阶哈密尔顿系统的周期解的多重性问题,通过利用对称山路引理,得到了哈密尔顿系统的无穷多个周期解.这推广了关于二阶哈密尔顿系统周期解的已有结果.The multiplicity of periodic solutions for a class of second order Hamiltonian systems with a locally defined potential is studied. Using the symmetric mountain pass lemma, infinitely many periodic solutions of the systems are obtained. The previously known result is extended.

关 键 词：多重性 周期解 二阶哈密尔顿系统 对称山路引理 

分 类 号：O175.14[理学—数学] O177.91[理学—基础数学]