Invariants for difference equations and systems of difference equations of rational form
type: Item
instance of: scholarly article
title: Invariants for difference equations and systems of difference equations of rational form
zbMATH Open document ID: 0889.39006
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-03-05T00:00:00Z
review text: The author consideres the system of difference equations \[ x_{n+1} = \frac{a_n y_n + A}{x_{n-1}}, \qquad y_{n+1} = \frac{b_n x_n + A}{y_{n-1}}, n = 0, 1,\dots\tag{1} \] where the coefficients \(\{a_n\}\) and \(\{b_n\}\) are periodic sequences of positive numbers of period 2 and \(A\) is a positive constant. Some invariants for system (1) are presented. In the second part of the article, some invariants for difference equations of higher than second order are found.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1115528
zbMATH Keywords: systems of difference equations of rational form
zbMATH Keywords: invariant
author: C. J. Schinas
reviewed by: Victor I. Tkachenko
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5667
OpenAlex ID: W2037085409
cites work: Q3837530
cites work: Open problems and conjectures
cites work: Invariants for some rational recursive sequences with periodic coefficients
cites work: Q4381451
DOI: 10.1006/JMAA.1997.5667
description: scientific article; zbMATH DE number 1115528