非自治系统周期解的存在性

Periodic Solution of the Non-autonomous Systems

本文利用Leray-Schauder不动点定理讨论了非自治线性周期系统周期解的存在性问题,建立了判别周期解存在的充分条件,并利用它讨论了一个三阶微分方程周期解的存在性。

In this paper,we study the exixtence of periodic solution of the nonautonomous systems by using the Leray-Schaucler continuation theorem and obtain a sufficients condition which guarantee the existence of periodic solution.