线性微分方程周期解研究

Study on Periodic Solutions for Linear Differntial Equations

本文将线性周期方程的周期解的存在性归结为线性代数方程组的解的存在性，给出系数矩阵为常数矩阵时的线性代数方程组，给出系数矩阵为二阶若当标准形时周期方程有解的具体条件。

Study the existence of periodic solutions for linear periodic equations by studing linear algebraic equations.Give linear algebraic equations with coefficient matrics to be constant ones.Obtain some conditions which ensure the periodic equations have solutions for constrant coefficiens in second Jordan form.