On the periodic cycle of \(x_{n+1}=(a_{n}+b_{n} x_{n})/c_{n} x_{n-1}\).
type: Item
instance of: scholarly article
title: On the periodic cycle of \(x_{n+1}=(a_{n}+b_{n} x_{n})/c_{n} x_{n-1}\).
zbMATH Open document ID: 1051.39002
DOI: 10.1016/S0096-3003(03)00182-6
published in: Applied Mathematics and Computation
publication date: 2004-03-14T00:00:00Z
review text: The author studies the behaviour of solutions of the second order difference equation \(x_{n+1}=(a_n+b_nx_n)/(c_nx_{n-1}),\) \(n=0,1,2,\dots\), where the sequences \(a_n, b_n\) and \(c_n\) are periodic. The proof of the main result Theorem 2.1 is not correct because he uses Lemma 2.1 in an incorrect manner.
reviewed by: Alberto Cabada
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 2056323
zbMATH Keywords: periodic cycle
zbMATH Keywords: second order difference equation
author: Cengiz Çinar
MaRDI profile type: Publication
cites work: On rational recursive sequences
cites work: A note on the periodic cycle of \(x_{n+2}=(1+x_{n+1})/(x_n)\)
full work available at URL: s0096-3003(03)00182-6
OpenAlex ID: W2089332682
description: scientific article; zbMATH DE number 2056323