Dd. Bainov et Im. Stamova, GLOBAL STABILITY OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL-DIFFERENCE EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS, Compel, 16(1), 1997, pp. 3
Investigates the global stability of the zero solution of an impulsive
system of differential difference equations with variable impulsive p
erturbations. By means of piecewise continuous functions which are ana
logues of Lyapunov's functions, and of the comparison principle, suffi
cient conditions for global stability of the zero solution of the syst
ems considered are found.