线性非齐次周期系统存在唯一ω周期解的充要条件

THE SUFFICIENT NECESSARY CONDITION OF UNIQUE ω PERIODIC SOLUTION OF LINEAR NONHOMGENEOUS PERIODIC SYSTEM

本文给出了线性非齐次周期系统存在唯一ω周期解的充要条件,并将其应用于常系数线性非齐次周期系统,得到它存在唯一ω周期解的一个比较简单的判别法。

A sufficient necessary condition for the linear nonhomgeneous periodic system to have unique ω periodic solution is given. Apllying this conclusion to the ordinary coefficient linear nonhomgenous periodic system we can get a simplier method to judge whether it has unique ω periodic solution.