This paper study the stability of moving invariant manifolds of nonlinear impulsive integro-differential equations. The obtain results are based on the method of piecewise continuous Lyapunov’s functions and the comparison principle.
"Impulsive Intergo-differential Equations and Stability of Moving Invariant Manifolds." Methods Appl. Anal. 14 (1) 69 - 76, March 2007.