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Practical stability of the solutions of impulsive systems of differential-difference equations via the method of comparison and some applications to population dynamics

Published online by Cambridge University Press:  17 February 2009

D. D. Bainov ,
A. B. Dishliev  and
I. M. Stamova
D. D. Bainov
Affiliation:
Medical University of Sofia, P.O. Box 45, 1504 Sofia, Bulgaria.
A. B. Dishliev
Affiliation:
University of Chemical Technology and Metallurgy, Sofia, Bulgaria.
I. M. Stamova
Affiliation:
Technical University of Sliven, Sliven, Bulgaria.
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Abstract

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In this paper we consider an initial value problem for systems of impulsive differential-difference equations is considered. Making use of the method of comparison and differential inequalities for piecewise continuous functions, sufficient conditions for practical stability of the solutions of such systems are obtained. Applications to population dynamics are also given.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 4 , April 2002 , pp. 525 - 539
Copyright
Copyright © Australian Mathematical Society 2002

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