In this paper the existence of integral manifolds for impulsive differential systems with time-varying delay and with impulsive effect at fixed moments are investigated. The main results are obtained by using of piecewise continuous Lyapunov’s functions and Razumikhin’s technique.
"Lyapunov's Functions and Existence of Integral Manifolds for Impulsive Differental Systems with Time-varying Delay." Methods Appl. Anal. 16 (3) 291 - 298, September 2009.