2ND METHOD OF LYAPUNOV AND COMPARISON PRINCIPLE FOR IMPULSIVE DIFFERENTIAL-DIFFERENCE EQUATIONS

Authors
BAINOV DD STAMOVA IM
Citation
Dd. Bainov et Im. Stamova, 2ND METHOD OF LYAPUNOV AND COMPARISON PRINCIPLE FOR IMPULSIVE DIFFERENTIAL-DIFFERENCE EQUATIONS, Journal of the Australian Mathematical Society. Series B. Applied mathematics, 38, 1997, pp. 489-505
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of the Australian Mathematical Society. Series B. Applied mathematics → ACNP
ISSN journal
03342700
Volume
38
Year of publication
1997
Part
4
Pages
489 - 505
Database
ISI
SICI code
0334-2700(1997)38:<489:2MOLAC>2.0.ZU;2-B
Abstract
In the present paper questions related to stability and boundedness wi th respect to manifolds of solutions of impulsive differential-differe nce equations are considered. The investigations are carried out by me ans of piecewise-continuous functions which are analogues of the class ical Lyapunov's functions. By means of a vectorial comparison equation and differential inequalities for piecewise-continuous functions, the orems are proved on stability and boundedness with respect to manifold s of solutions of impulsive differential-difference equations with imp ulse effect at fixed moments.