Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)
type: Item
instance of: scholarly article
title: Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)
zbMATH Open document ID: 1395.39007
author: D. Kharzeev
published in: Journal of Applied Mathematics and Computing
publication date: 2018-07-19T00:00:00Z
review text: The authors study the difference equation \[ x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}. \] They mainly consider the boundedness of its solutions, invariant intervals, semi-cycles and global attractivity of all nonnegative solutions.
reviewed by: Fengqin Zhang
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 39A23
zbMATH DE Number: 6908562
zbMATH Keywords: difference equation
zbMATH Keywords: boundedness
zbMATH Keywords: invariant interval
zbMATH Keywords: semi-cycle
zbMATH Keywords: global attractivity
MaRDI profile type: Publication
full work available at URL: s12190-017-1116-1
OpenAlex ID: W2614370761
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DOI: 10.1007/S12190-017-1116-1
description: scientific article; zbMATH DE number 6908562