一类二阶非自治Hamilton系统的周期解

Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems

在线性增长和次线性增长条件下,利用临界点理论中的极小作用原理和鞍点定理,研究了二阶非自治Hamilton系统周期解的存在性问题,获得了一些新的可解性条件.

By making use of the least action principle and the saddle point theorem in critical point theory. The existence of periodic solutions is studied for some non-autonomous second order Hamiltonian systems in the cases of and linear growth the sublinear growth.Some new solvability conditions are obtained.