二阶非自治Hamilton系统解的存在性

EXISTENCE OF SOLUTIONS FOR SOME NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS

利用临界点理论中的鞍点定理,研究一类二阶非自治Hamilton系统解的存在性问题,获得了一些新的可解性条件,推广和丰富了已有文献的一些结果.

In this paper, we study the existence of solutions for some non-autonomous second order Hamiltonian systems by the saddle point theorem in critical point theory. Some new solvability conditions are obtained, and the results improve and generalize some of the corresponding existing results.