高维非自治系统周期解的存在唯一性

The Existence and the Uniqueness of the Periodic Solution for High Order Non autonomic System

通过建立并利用齐次线性方程解的估计公式，得到关于非自治周期系统周期解的存在性、唯一性定理；并给出了一个平稳振荡定理；最后给出了定理应用的实例。

In this paper, the existence and the uniqueness theorem of periodic solution of the non autonomic system are obtained by method of the estimated formulae of solution for the homogerous linear system. A stationary oscillation theorem of the system is presented. Applied examples are given.