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中文摘要：
利用反射函数理论研究线性系统x.=P（t）x为简单系统的充要条件,建立了系统的Poincar啨映射,并讨论该系统及与其等价的非线性微分系统x.=P（t）x＋Fx-1（t,x）R（t,x）-R（-t,F（t,x））的周期解的存在性和稳定性.
英文摘要：
This paper gives the necessary and sufficient condition under which the linear differential system x·=P（t）x is a simple differential system by Mironenko＇s theory of reflective function.Then by applying these results,it studies the existence and stability of the periodic solution of the linear differential system x=P（t）x and the equivalent nonlinear differential system x=P（t）x＋F-1x（t,x）R（t,x）-R（-t,F（t,x））.
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