Global Attractivity and Periodic Character of Difference Equation of Order Four

We investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence , where the parameters , andare positive real numbers and the initial conditions , and are positive real numbers.

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Main Authors: M. A. Obaid, E. M. Elsayed, M. M. El-Dessoky
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/746738
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author M. A. Obaid
E. M. Elsayed
M. M. El-Dessoky
author_facet M. A. Obaid
E. M. Elsayed
M. M. El-Dessoky
author_sort M. A. Obaid
collection DOAJ
description We investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence , where the parameters , andare positive real numbers and the initial conditions , and are positive real numbers.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-af68ddb73a764eaba1dfecda008292052025-02-03T01:31:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/746738746738Global Attractivity and Periodic Character of Difference Equation of Order FourM. A. Obaid0E. M. Elsayed1M. M. El-Dessoky2Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaMathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaMathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence , where the parameters , andare positive real numbers and the initial conditions , and are positive real numbers.http://dx.doi.org/10.1155/2012/746738
spellingShingle M. A. Obaid
E. M. Elsayed
M. M. El-Dessoky
Global Attractivity and Periodic Character of Difference Equation of Order Four
Discrete Dynamics in Nature and Society
title Global Attractivity and Periodic Character of Difference Equation of Order Four
title_full Global Attractivity and Periodic Character of Difference Equation of Order Four
title_fullStr Global Attractivity and Periodic Character of Difference Equation of Order Four
title_full_unstemmed Global Attractivity and Periodic Character of Difference Equation of Order Four
title_short Global Attractivity and Periodic Character of Difference Equation of Order Four
title_sort global attractivity and periodic character of difference equation of order four
url http://dx.doi.org/10.1155/2012/746738
work_keys_str_mv AT maobaid globalattractivityandperiodiccharacterofdifferenceequationoforderfour
AT emelsayed globalattractivityandperiodiccharacterofdifferenceequationoforderfour
AT mmeldessoky globalattractivityandperiodiccharacterofdifferenceequationoforderfour