二阶超线性哈密顿系统周期解的存在性

Existence and Multipilicity of Periodic Solutions for Second-Order Superlinear Hamiltonian Systems

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摘要研究二阶哈密顿系统-ü(t)+[-K(t,u(t))+W(t,u(t))]=0周期解的存在性及多重性,通过使用山路定理,得到了当W为超线性时,系统无穷多个周期序列解的存在性。 We discuss the second-order Hamiltonian system-ü(t)+[-K(t,u(t))+W(t,u(t))]=0,and by using Mountain Pass theorem,obtain an unbounded sequence of T-periodic solutions when W is superlinear.

作者王叶青安天庆

机构地区河海大学理学院

出处《济南大学学报（自然科学版）》 CAS 北大核心 2013年第2期208-211,共4页 Journal of University of Jinan(Science and Technology)

基金国家自然科学基金(10871059)

关键词二阶哈密顿系统周期解山路定理超二次 second-order Hamiltonian system periodic solution Mountain Pass theorem superlinearity

分类号 O175 [理学—基础数学]

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济南大学学报（自然科学版）

2013年第2期

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二阶超线性哈密顿系统周期解的存在性

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