J Austral Math Soc Ser B 38 pp489--505, 1997.

Second method of Lyapunov and comparison principle for impulsive differential-difference equations

D. D. Bainov and I. M. Stamova

(Received 29 March 1995; revised 18 September 1995)

Abstract

In the present paper questions related to stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations are considered. The investigations are carried out by means of piecewise-continuous functions which are analogues of the classical Lyapunov's functions. By means of a vectorial comparison equation and differential inequalities for piecewise-continuous functions, theorems are proved on stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations with impulse effect at fixed moments.

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Authors

D. D. Bainov: Medical University, P.O. Box 45, Sofia 1504, Bulgaria.
I. M. Stamova: Technical University, Silven, Bulgaria

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Last Modified: Mon Dec 10 17:04:48 2001