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

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

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...

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Veröffentlicht in:The ANZIAM journal 2002-04, Vol.43 (4), p.525-539
Hauptverfasser: Bainov, D. D., Dishliev, A. B., Stamova, I. M.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Continuity (mathematics)
Difference equations
Differential equations
Mathematical analysis
Stability
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Zusammenfassung: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.
ISSN:1446-1811
1446-8735
DOI:10.1017/S1446181100012128