一般退化时滞微分方程的解

The solution of degenerate differential equations with delay

对于退化时滞微分方程,其退化矩阵E为方阵的情形已经有文献讨论,但是对于E不为方阵的一般情形,现有的文献尚未多见.本文首先用{1} -逆的结构给出了一般退化时滞微分方程的正常化条件,然后就可以正常化的一般线性退化滞后微分方程,给出其解的一般表达式.

As for the degenerte differential equations with delay,there are many discussions in many literatures when the degerenate matrix E is square.But, when the matrix E is not square,presently,discussions about the kind of equations had seldom been seen in literatures.Based on ｛1｝-inverse structure,the normalization condition of general degenerate differential equations with delay is given in this paper,and an example is given in order to illustrate its application.As for the normalizable linear degenerate differential equations with delay,the general expression of their solutions is also given in it.