Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)
type: Item
instance of: scholarly article
title: Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)
zbMATH Open document ID: 1119.39004
author: Kenneth S. Berenhaut
author: John D. Foley
author: Stevo Stević
published in: Applied Mathematics Letters
publication date: 2007-06-29T00:00:00Z
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 5168941
zbMATH Keywords: rational difference equation
zbMATH Keywords: recursive equation
zbMATH Keywords: global asymptotic stability
MaRDI profile type: Publication
full work available at URL: j.aml.2005.09.009
OpenAlex ID: W2086259619
cites work: Progress Report on Rational Difference Equations
cites work: Q3137926
cites work: Q4005852
cites work: Q4381437
cites work: Necessary and sufficient conditions for the boundedness of
cites work: Q4819640
cites work: A Note on the Difference Equation x n +1 = ∑ i =0 k α i x n − i p i
cites work: Q4406179
cites work: Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
cites work: On the recursive sequence \(x_{n+1}=\frac{A}{\prod^ k_{i=0}x_{n-i}}+\frac{1}{\prod^{2(k+1)}_{j=k+2}x_{n-j}}\).
DOI: 10.1016/J.AML.2005.09.009
description: scientific article