关于线性时滞系统反向延拓的一些结果

本文给出关于线性时滞系统(?)(t)=(?)_(-r)~0dp(θ)]x(t+θ)反向延拓的一些结果。我们在不要求原子性质的条件下,利用广义逆矩阵,获得了由描述微分方程的线性算子和初始函数所刻划的反向延拓存在性和唯一性的等价条件以及一些其它性质。

SOME RESULTS ABOUT BACKWARD CONTINUATION OF LINEAR TIME DELAY SYSTEM

In this paper we give some results about backward continuation of linear time delay system (t) =_(-r)~0 dp(θ)]x(t+θ) and some other results. Without the requirement of atomic (1]), by using the generalized nonsingular matrix methods, we get the equivalent conditions for the existence and uniqueness of the backward continuation , and these conditions are characterised by the initial function and the linear operator which describe the concerned functional differential equation.