W-stability theorems of nonlinear impulsive functional differential systems

This paper studies the W -stability of the solutions of nonlinear impulsive functional differential systems by using Lyapunov functions and Razumikhin technique. Some results that guarantee the W -stability and W -uniform stability are obtained here. an‎d the asymptotical stability criteria of nonlinear impulsive functional differential systems are then established by using the W -uniform stability, which show the advantages of the obtained results.