The Stability And Boundedness Of Functional Differential Equations

In this paper , we study the stability and boudedness of impulsive functional differential equations.At first . we study the Lipschitz stability for impulsive functional differential equations with finite delaysAnd then . we study the stability" and boundedness problems of the Volterra type functional differential equationunder the nonlinear impulsive perturbed conditionsBy using the famous Lyapunov functions and Razumikhin techniques , we establish some new criteria on stability and boundedness , the theorems of this paper extend or improve the former results. Besides , we consider some examples as the application of our new established theorems.