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

Boundary value problems

Xingyong Zhang¹  Xianhua Tang² 

[1] Department of Mathematics, Faculty of Science, Kunming University of Science and Technology, Kunming, P.R. China;School of Mathematical Sciences and Computing Technology, Central South University, Changsha, P.R. China

关键词: second-order Hamiltonian systems;    subharmonic solution;    critical point;    linking theorem;   

DOI  :  10.1186/1687-2770-2013-139

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY