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.