一类超二次二阶Hamilton系统的周期解  

Periodic solutions for a class of second order superquadratic nonautonomous Hamiltonian systems

作　　者：聂千千 郭飞 NIE Qian-qian;GUO Fei(School of Mathematics,Tianjin University,Tianjin 300354,China)

机构地区：[1]天津大学数学学院,天津300354

出　　处：《东北师大学报（自然科学版）》2018年第3期38-42,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11371276;10901118)

摘　　要：研究了一类超二次二阶非自治Hamilton系统,利用环绕定理和喷泉定理分别证明了此系统周期解的存在性和多重性.Periodic solutions for a class of second order superquadratic nonautonomous dynamical systems are considered.Using Linking Theorem and Fountain Theorem,the existence and multiplicity of periodic solutions are obtained.

关 键 词：二阶Hamilton方程 环绕定理 喷泉定理 周期解 超二次 

分 类 号：O175.14[理学—数学]