ANZIAM J.
43 (2002), 525-539
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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
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D. D. Bainov
Medical University of Sofia
P.O. Box 45
1504 Sofia
Bulgaria
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A. B. Dishliev
University of Chemical Technology and Metallurgy
Sofia
Bulgaria
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and
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I. M. Stamova
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.
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