高阶Duffing型微分方程有关周期解的研究

Research of Periodic Solutions for High Order Duffing Equations

本文通过方程变换,利用齐次线性微分方程的非平凡周期解与非齐次线性微分方程的周期解之间的关系研究两类高阶Duffing方程周期解的存在性,改进了一些已有结果。

In this paper, using the relation between trivial periodic solution of homogeneous linear differential equations and periodic solution of non - homogeneous linear differential equations, the existence of periodic solutions for two high order Duffing equations is studied, and some known results are improved.