Asymptotic behaviour of solutions of rational difference systems

In this article, we investigate the asymptotic behaviour of solutions of systems of rational difference equations in arbitrary dimensions. We give conditions for the parameters ensuring that the positive solutions of the considered system are bounded, unbounded, increasing, decreasing, and convergen...

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Bibliographic Details
Published in:Journal of difference equations and applications 2017-03, Vol.23 (3), p.557-573
Main Authors: Bohner, Martin, Georgiev, Svetlin G.
Format: Article
Language:English
Subjects:
Asymptotic properties
boundedness
Difference equation
Difference equations
rational systems
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Summary:In this article, we investigate the asymptotic behaviour of solutions of systems of rational difference equations in arbitrary dimensions. We give conditions for the parameters ensuring that the positive solutions of the considered system are bounded, unbounded, increasing, decreasing, and convergent, respectively.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2016.1258069