Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 48, pp. 1-10.

Title: Lyapunov-Razumikhin method for asymptotic stability of sets
       for impulsive functional differential equations
 
Authors: Ivanka M. Stamova (Bourgas Free Univ., Bourgas, Bulgaria)
         Gani T. Stamov    (Technical Univ., Sliven, Bulgaria)

Abstract: 
 In the present paper, we study the global stability of sets
 of sufficiently general type with respect to impulsive
 functional differential equations with variable
 impulsive perturbations.
 The main results are obtained by means of piecewise
 continuous Lyapunov functions and the use of the Razumikhin technique.
 
Submitted December 2, 2006. Published April 04, 2008.
Math Subject Classifications: 34K45.
Key Words: Global stability of sets; Lyapunov's direct method;
           impulsive functional differential equations.