On a second order rational systems of difference equations
type: Item
instance of: scholarly article
title: On a second order rational systems of difference equations
zbMATH Open document ID: 1346.39018
published in: Hokkaido Mathematical Journal
publication date: 2016-01-29T00:00:00Z
review text: The authors study the system of second-order rational difference equations \[ x_{n+1}=\frac{y_n\,x_{n-1}}{\pm x_{n-1}\pm y_n}, \quad y_{n+1}=\frac{x_n\,y_{n-1}}{\pm x_n\pm y_{n-1}}, \quad n\in{\mathbb N}_0, \] with nonzero initial conditions. They derive an explicit form of the solution in terms of the Fibonacci sequence and the initial values.
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 39A23
zbMATH DE Number: 6537496
zbMATH Keywords: periodic solutions
zbMATH Keywords: system of second-order rational difference equations
zbMATH Keywords: Fibonacci sequence
author: Nouressadat Touafek
author: E. M. Elsayed
reviewed by: Roman Šimon Hilscher
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1470052352
OpenAlex ID: W2477486016
DOI: 10.14492/HOKMJ/1470052352
description: scientific article; zbMATH DE number 6537496