The Application Of Moser's Twist Theorem In Several Classes Of Impulsive Differential Equations

In this paper,we discuss the application of Moser's twist theorem in several classes of impulsive equations.It is consisted of four chapters.Chapter 1 is introduction,we state the background and history of the appli-cation of Moser's twist theorem and the main results of this work.In Chapter 2,we discuss Lagrange stability of impulsive Duffing equations,Lagrange stability of impulsive Duffing equations is proved by using Moser's twist theorem.In Chapter 3,we consider Lyapunov stability of the trivial solution for a class impulsive equations of second order,Lyapunov stability of the trivial solution of such impulsive equation is proved by using Moser's twist theorem,some examples of jump functions are provided.In Chapter 4,we summarize the full thesis and point out the further research work.