Boundedness, attractivity, and stability of a rational difference equation with two periodic coefficients
type: Item
instance of: scholarly article
title: Boundedness, attractivity, and stability of a rational difference equation with two periodic coefficients
zbMATH Open document ID: 1178.39020
DOI: 10.1155/2009/973714
author: G. Stefanidou
author: G. Papaschinopoulos
author: C. J. Schinas
published in: Discrete Dynamics in Nature and Society
publication date: 2009-11-23T00:00:00Z
full work available at URL: https://eudml.org/doc/233752
review text: Summary: We study the boundedness, the attractivity, and the stability of the positive solutions of the rational difference equation \[ x_{n+1}=(p_{n}x_{n - 2}+x_{n - 3})/(q_{n}+x_{n - 3}), \quad n=0,1,\dots , \] where \(p_{n},q_{n}, n=0,1,\dots \) are positive sequences of period 2.
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 5637403
zbMATH Keywords: boundedness
zbMATH Keywords: attractivity
zbMATH Keywords: stability
zbMATH Keywords: positive solutions
zbMATH Keywords: rational difference equation
MaRDI profile type: Publication
OpenAlex ID: W2101137899
Wikidata QID: Q58647585
cites work: On the dynamics of \(x_{n+1}= \frac {\delta x-{n-2}+x_{n-3}}{A+x_{n-3}}\)
cites work: Q4003305
cites work: Q4225019
cites work: Q3992578
cites work: Q4871718
cites work: Q4650355
cites work: Q3137926
cites work: On a discrete epidemic model
cites work: On global periodicity of a class of difference equations
cites work: On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\)
cites work: Asymptotics of some classes of higher-order difference equations
cites work: Asymptotic periodicity of a higher-order difference equation
cites work: Periodically forced nonlinear systems of difference equations
cites work: Global Dynamics of Some Periodically Forced, Monotone Difference Equations
cites work: A Periodically Forced Beverton-Holt Equation
cites work: On the Dynamics of with a Period-two Coefficient
cites work: On a (k+1)-th order difference equation with a coefficient of periodk+1
cites work: Q5461848
cites work: On a difference equation with 3-periodic coefficient
cites work: Q4040882
description: scientific article; zbMATH DE number 5637403