The Periodic Solution And Stability Of Degenerate Differential Systems With Delays

There were many degenerate and time delay phenomena existing in many practi-cal fields, such as control system,financial system,chemical system,industrial project sys-tem,ecosystem,power system and so on.Stability is a basic structure characteristic of de-generate differential systems with delays.Since the Russian mathematician mechanics Lya-punov found stability theory of ordinary differential equations,many scholars have studied the stability theory of degenerate differential systems with delays,which promoted the con-tinuous development and innovation of degenerate differential systems and has obtained a lot of research achievement.At the same time, periodic phenomena often occur in practical fields, and thus the periodic problem is also an important aspect of the study.This paper deals with periodic solution and stability of degenerate differential systems with delays, many important results are also given in it. There are four chapters in this paper.In chapter1, some background knowledge of degenerate differential systems with delays is introduced, and the preliminary knowledge which is necessary in the paper is given.In chapter2, we consider the periodic solution of the following system:In chapter3,we investigate the stability of the following system: Ex(t)=Ax(t)+Bx(t-τ)In chapter4, we study the stability of the following two systems: and...