Existence of subharmonic solutions for non-quadratic second-order Hamiltonian systems
1 Department of Mathematics, Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650500, P.R. China
2 School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, 410083, P.R. China
Boundary Value Problems 2013, 2013:139 doi:10.1186/1687-2770-2013-139Published: 30 May 2013
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.