Impulsive Differential Equations Stability And Boundedness

In this paper, we study the stability and boundedness of impulsive differential equations. In chapter one, we study the stability of impulsive differential equations, and establish the exponential stability theorems of zero solutions of the impulsive ordinary differential equations and the Lipschitz stability theorems of impulsive functional differential equations, the theorems extend or improve the former results. In chapter two, we study the boundedness of impulsive ordinary differential equations and impulsive functional differential equations and obtain some new sufficient conditions for uniformly boundedness and uniformly ultimate boundedness.