Solution for Rational Systems of Difference Equations of Order Three

In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n , with initial conditions x − 2 ,...

Full description

Bibliographic Details
Main Author:	Mohamed M. El-Dessoky
Format:	Article
Language:	English
Published:	MDPI AG 2016-09-01
Series:	Mathematics
Subjects:	Keywords difference equations recursive sequences stability periodic solution system of difference equations
Online Access:	http://www.mdpi.com/2227-7390/4/3/53

id	doaj-e83224dd88a54be5a90d16fb3b5bba14
record_format	Article
spelling	doaj-e83224dd88a54be5a90d16fb3b5bba142020-11-24T23:13:40ZengMDPI AGMathematics2227-73902016-09-01435310.3390/math4030053math4030053Solution for Rational Systems of Difference Equations of Order ThreeMohamed M. El-Dessoky0Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n , with initial conditions x − 2 , x − 1 , x 0 , y − 2 , y − 1 , and y 0 are nonzero real numbers.http://www.mdpi.com/2227-7390/4/3/53Keywordsdifference equationsrecursive sequencesstabilityperiodic solutionsystem of difference equations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mohamed M. El-Dessoky
spellingShingle	Mohamed M. El-Dessoky Solution for Rational Systems of Difference Equations of Order Three Mathematics Keywords difference equations recursive sequences stability periodic solution system of difference equations
author_facet	Mohamed M. El-Dessoky
author_sort	Mohamed M. El-Dessoky
title	Solution for Rational Systems of Difference Equations of Order Three
title_short	Solution for Rational Systems of Difference Equations of Order Three
title_full	Solution for Rational Systems of Difference Equations of Order Three
title_fullStr	Solution for Rational Systems of Difference Equations of Order Three
title_full_unstemmed	Solution for Rational Systems of Difference Equations of Order Three
title_sort	solution for rational systems of difference equations of order three
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2016-09-01
description	In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n , with initial conditions x − 2 , x − 1 , x 0 , y − 2 , y − 1 , and y 0 are nonzero real numbers.
topic	Keywords difference equations recursive sequences stability periodic solution system of difference equations
url	http://www.mdpi.com/2227-7390/4/3/53
work_keys_str_mv	AT mohamedmeldessoky solutionforrationalsystemsofdifferenceequationsoforderthree
_version_	1725597295326527488

Solution for Rational Systems of Difference Equations of Order Three

Similar Items