On a higher-order difference equation
type: Item
instance of: scholarly article
title: On a higher-order difference equation
zbMATH Open document ID: 1198.39016
DOI: 10.1155/2010/891564
author: Wanping Liu
author: Bratislav Iričanin
published in: Discrete Dynamics in Nature and Society
publication date: 2010-09-29T00:00:00Z
review text: Summary: We describe in an elegant and short way the behaviour of positive solutions of the higher-order difference equation \(x_{n}=cx_{n - p}x_{n - p - q}/x_{n - q}, n\in \mathbb N_{0}\), where \(p,q\in \mathbb N\) and \(c>0\), extending some recent results in the literature.
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 5793510
zbMATH Keywords: positive solutions
zbMATH Keywords: higher-order difference equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/891564
OpenAlex ID: W2071729419
Wikidata QID: Q58650663
cites work: Global stability of a rational symmetric difference equation
cites work: On the global periodicity of some difference equations of third order
cites work: On the asymptotics of nonlinear difference equations
cites work: Periodicity of some classes of holomorphic difference equations
cites work: Linear difference equations mod 2 with applications to nonlinear difference equations1
cites work: On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\)
cites work: Q4650355
cites work: On the behaviour of the solutions of a second-order difference equation
cites work: On the max-type difference equation \(x_{n+1}=\max\{A/x_n,x_{n - 3}\}\)
cites work: On a class of third-order nonlinear difference equations
cites work: On a difference equation with min-max response
cites work: On the Recursive Sequence
cites work: Recursively Generated Periodic Sequences
cites work: On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\)
cites work: On the system of rational difference equations \(x_n=a/y_{n-3}\), \(y_n=by_{n-3}/x_{n-q}y_{n-q}\)
cites work: Q3634784
cites work: Short Note: A Note on Periodic Character of a Difference Equation
cites work: On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-k}}{f(x_n,\dots,x_{n-k+1})}\)
cites work: Global stability and asymptotics of some classes of rational difference equations
cites work: On positive solutions of a (\(k+1\))th order difference equation
cites work: Asymptotics of some classes of higher-order difference equations
cites work: Existence of nontrivial solutions of a rational difference equation
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: Nontrivial solutions of a higher-order rational difference equation
cites work: On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\)
cites work: Boundedness character of a class of difference equations
cites work: Boundedness character of a fourth order nonlinear difference equation
cites work: Global stability of a difference equation with maximum
cites work: On a class of higher-order difference equations
cites work: Global stability of some symmetric difference equations
cites work: The behavior of positive solutions of a nonlinear second-order difference equation
cites work: On a max-type difference equation
cites work: On the system of high order rational difference equations \(x_{n}=\frac {a}{y_{n-p}}, y_{n}=\frac {by_{n-p}}{x_{n-q}{y_{n-q}}}\)
description: scientific article; zbMATH DE number 5793510