线性时滞微分方程的点态退化(英文)

On the Pointwise Degeneracy of Linear Delay Differential Equations

本文讨论了线性时滞微分方程的点态退化问题.借助于矩阵的有关知识,我们给出了判定n阶时滞微分方程点态退化的充分必要条件及代数判据.

This paper mainly discussed the pointwise degeneracy of linear delay differential equations.With the knowledge of matrix,we give the necessary and sufficient conditions of pointwise degeneracy on n-order delay differential equations.In addition,we also obtain the algebraic criteria of pointwise degeneracy for n-order linear delay differential equations.We think that it will widen the field of this system.