On the system of high order rational difference equations
type: Item
instance of: scholarly article
title: On the system of high order rational difference equations
zbMATH Open document ID: 1490.39006
DOI: 10.1155/2014/760502
author: Qianhong Zhang
author: Wenzhuan Zhang
author: Yuanfu Shao
author: Jingzhong Liu
published in: International Scholarly Research Notices. Mathematical Analysis
publication date: 2019-02-21T00:00:00Z
review text: Summary: This paper is concerned with the boundedness, persistence, and global asymptotic behavior of positive solution for a system of two rational difference equations \(x_{n + 1} = A +(x_n / \sum_{i = 1}^k y_{n - i})\), \(y_{n + 1} = B +(y_n / \sum_{i = 1}^k x_{n - i})\), \(n = 0,1, \ldots, k \in \{1,2, \ldots \}\), where \(A, B \in \left(0, \infty\right)\), \(x_{- i} \in \left(0, \infty\right)\), and \(y_{- i} \in \left(0, \infty\right)\), \(i = 0,1, 2, \ldots, k \).
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 7027201
Wikidata QID: Q36979133
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/760502
OpenAlex ID: W2005303742
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description: scientific article; zbMATH DE number 7027201