On a max-type and a min-type difference equation
type: Item
instance of: scholarly article
title: On a max-type and a min-type difference equation
zbMATH Open document ID: 1178.39010
author: Bratislav Iričanin
author: E. M. Elsayed
published in: Applied Mathematics and Computation
publication date: 2009-10-09T00:00:00Z
review text: The paper considers the positive solutions of \[ x_{n+1} = \max\left\{{{A_n}\over{x_n}},x_{n-2}\right\},\quad n\in N_0=\{n\in N:\;n\geq n_0\} \] and \[ x_{n+1} = \min\left\{{{A_n}\over{x_n}},x_{n-2}\right\},\quad n\in N_0 \] with \(n_0\in\{-k,\dots,-1,0,1,\dots\}\). If \(\{A_n\}_{n=0}^{\infty}\) is a positive sequence with period three, every positive solution of each equation above is periodic with period three.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 39A23
zbMATH DE Number: 5612839
zbMATH Keywords: max-type difference equation
zbMATH Keywords: positive solution
zbMATH Keywords: period three solution
zbMATH Keywords: rational difference equation
MaRDI profile type: Publication
full work available at URL: j.amc.2009.05.045
OpenAlex ID: W2007849997
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DOI: 10.1016/J.AMC.2009.05.045
description: scientific article; zbMATH DE number 5612839