Journal of Applied Mathematics and Stochastic Analysis
Volume 11 (1998), Issue 2, Pages 209-216
doi:10.1155/S104895339800015X
Abstract
The present work is devoted to the study of stability of the zero solution
to linear impulsive differential-difference equations with variable impulsive
perturbations. With the aid of piecewise continuous auxiliary functions,
which are generalizations of the classical Lyapunov's functions, sufficient
conditions are found for the uniform stability and uniform asymptotical
stability of the zero solution to equations under consideration.