On the recursive sequence \(x_n=A+x_{n-k}^p/x_{n-1}^r\)
type: Item
instance of: scholarly article
title: On the recursive sequence \(x_n=A+x_{n-k}^p/x_{n-1}^r\)
zbMATH Open document ID: 1294.39006
DOI: 10.1155/2009/608976
author: Fangkuan Sun
author: Xiaofan Yang
author: Chunming Zhang
published in: Discrete Dynamics in Nature and Society
publication date: 2009-11-23T00:00:00Z
review text: Summary: This paper studies the dynamic behavior of the positive solutions to the difference equation \(x_n=A+x_{n-k}^p/x_{n-1}^r\), \(n=1,2,\ldots,\) where \(A,p\) and \(r\) are positive real numbers, and the initial conditions are arbitrary positive numbers. We establish some results regarding the stability and oscillation character of this equation for \(p\in [0,1)\).
Mathematics Subject Classification ID: 39A21
Mathematics Subject Classification ID: 39A30
zbMATH DE Number: 5637374
Wikidata QID: Q58647510
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/608976
OpenAlex ID: W1584223121
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description: scientific article; zbMATH DE number 5637374