一类具有单个时滞微分系统的周期解

On the Periodic Solution of a Class of Differential System with a Tim Lag

利用Ｆｏｕｒｉｅｒ级数理论讨论一类具有单时滞的微分系统ｘ（ｔ）＋Ｃｘ（ｔ－ｈ）＝ａｘ（ｔ）＋ｂｘ（ｔ－ｈ）＋ｆ（ｔ）的周期解问题。获得了周期解存在。

Using Fourier series theory,this paper discusses the periodic solution of a class of differential system with a time lag,where the system is (t)+C(t-h)=ax(t)+bx(t-h)+f(t).Some sufficient and necessary conditions or some simple and convenient sufficient conditions of existence and uniqueness of periodic solution for the differential system are given.