Global behavior of a rational second order difference equation
type: Item
instance of: scholarly article
title: Global behavior of a rational second order difference equation
zbMATH Open document ID: 1482.39008
author: Mehmet Gümüş
author: Raafat Abo-Zeid
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
review text: The authors study a particular nonlinear rational difference-functional equation. By means of a transformation, the equation is transformed into a linear third-order difference-functional equation. To find its solutions, three cases are considered. These cases are not considered in the book [\textit{M. Kuczma}, An introduction to the theory of functional equations and inequalities. Cauchy's equation and Jensen's inequality. Edited by Attila Gilányi. Basel: Birkhäuser (2009; Zbl 1221.39041)]. The authors consider the global behavior of the original nonlinear rational difference-functional equation by using standard methods known in the literature. Under some additional assumptions they also construct periodic and converging to periodic solutions.
reviewed by: Stefan Czerwik
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 39A70
zbMATH DE Number: 7435251
zbMATH Keywords: nonlinear difference equation
zbMATH Keywords: convergence
zbMATH Keywords: unbounded solution
MaRDI profile type: Publication
full work available at URL: s12190-019-01276-9
OpenAlex ID: W2968878743
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DOI: 10.1007/S12190-019-01276-9
description: scientific article; zbMATH DE number 7435251