可测系数广义线性常微分方程的周期解

摘要

In this paper, by using the definition ofω-periodic solutions and generalized ordinary differential equation theory, the ω-periodic solutions to the initial value problem of generalized linear ordinary differential equations are obtained. These results generalize the current periodic solution to linear ordinary differential equation.%本文利用ω-周期解的定义和广义常微分方程理论，得到了广义线性常微分方程初值问题的ω-周期解，所得结果是对线性常微分方程周期解的本质推广。