混合条件下的哈密尔顿系统周期解的存在性

Existence of periodic solutions for second order Hamiltonian systems with mixed condition

摘要:

研究了带有混合条件的二阶哈密尔顿系统, 通过鞍点定理得出了该系统周期解的存在性, 对之前已有的研究成果进行了推广.

Abstract:

A class of nonautonomous second order Hamiltonian systems with mixed condition are considered in this paper.The existence of periodic solution is obtained using Saddle Point Theorem.Our result extends some previously known results.