Some invariants for \(k\)th-order Lyness equation.
type: Item
instance of: scholarly article
title: Some invariants for \(k\)th-order Lyness equation.
zbMATH Open document ID: 1070.39026
author: Xianqiang Yang
published in: Applied Mathematics Letters
publication date: 2005-03-07T00:00:00Z
review text: Second and third invariants are established for the \(k\)-th order Lyness equation \[ x_{n+1}=\frac{a+x_n+x_{n-1}+\cdots+x_{n-k+2}}{x_{n-k+1}},\quad n=0,1,2,\dots, \] where the parameter \(a\) is an arbitrary positive number. Furthermore, the independence of the second and third invariants are proved.
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 2140802
zbMATH Keywords: Lyness equation
zbMATH Keywords: invariants
zbMATH Keywords: functionally independent invariants
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
full work available at URL: j.aml.2003.07.011
OpenAlex ID: W2000619053
cites work: Q3137926
cites work: Properties of a certain Lyness equation
cites work: Invariants and related Liapunov functions for difference equations
cites work: A note on unbounded solutions of a class of second order rational difference equations
cites work: How to find the conserved quantities of nonlinear discrete equations
DOI: 10.1016/J.AML.2003.07.011
description: scientific article; zbMATH DE number 2140802