Asymptotic convergence of solutions of a scalar q-difference equation with double delays

Asymptotic convergence of solutions of a scalar q-difference equation with double delays

We obtain sufficient conditions for the asymptotic convergence of all solutions of a scalar q -difference equation with double delays. Moreover, we prove that the limits of the solutions could be formulated in terms of the initial functions and the solution of a corresponding sum equation.

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Veröffentlicht in:Acta mathematica Hungarica 2016-04, Vol.148 (2), p.279-293
Hauptverfasser: Bereketoglu, H., Kavgaci, M. E., Oztepe, G. S.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We obtain sufficient conditions for the asymptotic convergence of all solutions of a scalar q -difference equation with double delays. Moreover, we prove that the limits of the solutions could be formulated in terms of the initial functions and the solution of a corresponding sum equation.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-015-0575-9