Pulse Perturbation Of The Stability Theory Of Differential Systems

In this paper, hy using variational Lyapuiiov method, we es. t abb sh a new compan son theorem. An ci un cler this compan son theorem, we establish some criteria. on the properties of solutions of the perturbed ci~ffereii- tial equations with impulsive effects, such as stal)ihty in terms of two measures, bouncledness in terms of two measures and so on. (憃mpared with the ortiier testi ts obtai ited by tt~i i ig Lyap u nOx?nietii od, it. is not, (.1 i flicu it. to liii (1 that vari- ational Lyapunov method is an dXtCiiSIOll of Lyapniiov method and the former results can be viewed a.s the si)ecial cases of the theorems here.