On the System of High Order Rational Difference Equations

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)/∑(i=1) (k) y (n−i)), y (n+1) = B + (y (n)/∑(i=1) (k) x (n−i)),  n = 0,1,…, k ∈ {1,2,…}, where A, B ∈ (0, ∞), x (−i) ∈...

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Detalles Bibliográficos
Autores principales: Zhang, Qianhong, Zhang, Wenzhuan, Shao, Yuanfu, Liu, Jingzhong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897144/
https://www.ncbi.nlm.nih.gov/pubmed/27471747
http://dx.doi.org/10.1155/2014/760502
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author Zhang, Qianhong
Zhang, Wenzhuan
Shao, Yuanfu
Liu, Jingzhong
author_facet Zhang, Qianhong
Zhang, Wenzhuan
Shao, Yuanfu
Liu, Jingzhong
author_sort Zhang, Qianhong
collection PubMed
description 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)/∑(i=1) (k) y (n−i)), y (n+1) = B + (y (n)/∑(i=1) (k) x (n−i)),  n = 0,1,…, k ∈ {1,2,…}, where A, B ∈ (0, ∞), x (−i) ∈ (0, ∞), and y (−i) ∈ (0, ∞), i = 0,1, 2,…, k.
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spelling pubmed-48971442016-07-28 On the System of High Order Rational Difference Equations Zhang, Qianhong Zhang, Wenzhuan Shao, Yuanfu Liu, Jingzhong Int Sch Res Notices Research Article 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)/∑(i=1) (k) y (n−i)), y (n+1) = B + (y (n)/∑(i=1) (k) x (n−i)),  n = 0,1,…, k ∈ {1,2,…}, where A, B ∈ (0, ∞), x (−i) ∈ (0, ∞), and y (−i) ∈ (0, ∞), i = 0,1, 2,…, k. Hindawi Publishing Corporation 2014-10-29 /pmc/articles/PMC4897144/ /pubmed/27471747 http://dx.doi.org/10.1155/2014/760502 Text en Copyright © 2014 Qianhong Zhang et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhang, Qianhong
Zhang, Wenzhuan
Shao, Yuanfu
Liu, Jingzhong
On the System of High Order Rational Difference Equations
title On the System of High Order Rational Difference Equations
title_full On the System of High Order Rational Difference Equations
title_fullStr On the System of High Order Rational Difference Equations
title_full_unstemmed On the System of High Order Rational Difference Equations
title_short On the System of High Order Rational Difference Equations
title_sort on the system of high order rational difference equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897144/
https://www.ncbi.nlm.nih.gov/pubmed/27471747
http://dx.doi.org/10.1155/2014/760502
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