On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)

We investigate the solutions of the system of difference equations 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1), where 𝑦0,𝑦−1,𝑥0,𝑥−1,𝑧−1,𝑧0∈ℝ.

Saved in:

Bibliographic Details
Main Author:	Abdullah Selçuk Kurbanli
Format:	Article
Language:	English
Published:	Wiley 2011-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2011/932362
Tags:	Add Tag No Tags, Be the first to tag this record!

_version_	1832567145580462080
author	Abdullah Selçuk Kurbanli
author_facet	Abdullah Selçuk Kurbanli
author_sort	Abdullah Selçuk Kurbanli
collection	DOAJ
description	We investigate the solutions of the system of difference equations 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1), where 𝑦0,𝑦−1,𝑥0,𝑥−1,𝑧−1,𝑧0∈ℝ.
format	Article
id	doaj-art-134b8f21e32a459eaf538b9d7da35ea4
institution	Kabale University
issn	1026-0226 1607-887X
language	English
publishDate	2011-01-01
publisher	Wiley
record_format	Article
series	Discrete Dynamics in Nature and Society
spelling	doaj-art-134b8f21e32a459eaf538b9d7da35ea42025-02-03T01:02:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/932362932362On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)Abdullah Selçuk Kurbanli0Department of Mathematics, Faculty of Education, Selcuk University, 42090 Konya, TurkeyWe investigate the solutions of the system of difference equations 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1), where 𝑦0,𝑦−1,𝑥0,𝑥−1,𝑧−1,𝑧0∈ℝ.http://dx.doi.org/10.1155/2011/932362
spellingShingle	Abdullah Selçuk Kurbanli On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1) Discrete Dynamics in Nature and Society
title	On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)
title_full	On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)
title_fullStr	On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)
title_full_unstemmed	On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)
title_short	On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)
title_sort	on the behavior of solutions of the system of rational difference equations 𝑥𝑛 1 𝑥𝑛 1 𝑦𝑛𝑥𝑛 1 1 𝑦𝑛 1 𝑦𝑛 1 𝑥𝑛𝑦𝑛 1 1 and 𝑧𝑛 1 𝑧𝑛 1 𝑦𝑛𝑧𝑛 1 1
url	http://dx.doi.org/10.1155/2011/932362
work_keys_str_mv	AT abdullahselcukkurbanli onthebehaviorofsolutionsofthesystemofrationaldifferenceequationsxn1xn1ynxn11yn1yn1xnyn11andzn1zn1ynzn11

On the Behavior of Solutions of the System of Rational Difference Equations: 𝑥𝑛+1=𝑥𝑛−1/(𝑦𝑛𝑥𝑛−1−1), 𝑦𝑛+1=𝑦𝑛−1/(𝑥𝑛𝑦𝑛−1−1), and 𝑧𝑛+1=𝑧𝑛−1/(𝑦𝑛𝑧𝑛−1−1)

Similar Items