Stability And Oscillation Of Several Kinds Of Impulsive Differential Systems

In this paper,we mainly discuss the stability and oscillation of several kinds of impulsive differential systems.There are five chapters in this paper.The first chapter is the introduction.It briefly introduces the stability and the research background of the vibration history,the research status,preparatory knowledge and the research work in this paper.In the second chapter,the stability of a class of second order linear impulsive differential systems is discussed,and some sufficient and necessary conditions for the stability of the system are obtained.In the third chapter,the oscillation of the second order impulsive differential system is discussed,and the Riccati transform is used to transform the system into a corresponding case without pulse.In the fourth chapter,the vibrational properties of the second order impulsive delay differential systems with no forcing terms are discussed,and some sufficient conditions are established.In the fifth chapter,we mainly discuss the oscillation of a class of Impulsive Delay Differential Systems with forcing term.We get the oscillation results of the system.Finally,we give an example to illustrate the application of the results.