In this paper, we use the comparison method to discuss the global existence of solutions of a delay-differential system. Some criteria for the global existence of RFDE are given.
本文利用比较方法讨论延滞系统解的整体存在性问题，得出延滞系统解的整体存在性的若干判别准则。
So, it has a practical significance to study the character of solutions of either degenerate differential system with delay or impulsive differential equations with delays.
因此研究退化、脉冲时滞微分方程解的性态具有重要的现实意义。
In the second chapter, we study an infinite delay differential equation, the system was widely applied in the biology, neural network and some other fields.
第二章是研究一类无穷时滞微分系统，此系统在生物，神经网络等领域中都有广泛应用。
The planar delay differential system (1) has significant biological and physical backgrounds. For example, some special cases of (1) have been proposed as models of neural networks.
平面系统（1）具有重要的生物和物理背景，大量的神经网络模型都是以这种形式被提出的。
System stability is prone to be guaranteed by using the proposed control method due to the fact that the modal control law is designed directly from time-delay differential equation.
由于模态控制律直接通过时滞微分方程而得出，因此所给控制方法易于保证控制系统的稳定性。
The differential equation of motion of the system is first transformed to a state-space model with time delay control input.
首先将系统的运动微分方程改写成状态空间模型，其控制输入中存在时滞。
The sufficient conditions of exponential stability about this system are obtained by matrix measure and delay differential inequality, the results of the paper [1~3] are extended and improved.
基于文［1］中的微分差分不等式和有关结果，用统一的方法得到了有界性和稳定性的充分条件。
Finally, the stability of a type of time-varying differential system with multi-delay was discussed.
最后，讨论了一类时变多时滞微分系统的稳定性。
Finally, the stability of a type of time-varying differential system with multi-delay was discussed.
最后，讨论了一类时变多时滞微分系统的稳定性。
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