常系数线性中立型方程的一般周期的周期解

Periodoc Solution of Linear Autonomous Neutral Differential Equations with Delays

本文利用Fourier经数理论及矩阵的Jordan标准形理论研究了单时滞常系数中立型方程组的一般周期的周期解,获得了保证周期解存在、唯一的充分必要条件及一些简单的充分条件．

In this paper a study of the periodic solution of linpar autonomous neutral differential equation with delays in presented. Using the theory of Fourier series and matrix,some necessary and sufficient conditions that ensure the existence and uniqueness of the continuous differential periodic solution is obtained. The results are found to be an improvement over previously aviable results for linear autonomous neutral differential equations.