Existence of subharmonic solutions for non-quadratic second-order Hamiltonian systems

被引：6

作者：

Zhang, Xingyong ^{[1
]}

Tang, Xianhua ^{[2
]}

机构：

[1] Kunming Univ Sci & Technol, Dept Math, Fac Sci, Kunming 650500, Yunnan, Peoples R China

[2] Cent South Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

second-order Hamiltonian systems; subharmonic solution; critical point; linking theorem; PERIODIC-SOLUTIONS; MINIMAL PERIOD;

D O I：

10.1186/1687-2770-2013-139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some existence theorems are obtained for subharmonic solutions of second-order Hamiltonian systems with linear part under non-quadratic conditions. The approach is the minimax principle. We consider some new cases and obtain some new existence results. MSC: 34C25, 58E50, 70H05.

引用

页码：1 / 25

页数：25

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