On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]

The behaivour of the solutions of the following system of difference equations is examined,

x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]

where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations

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Publication Name
(dc.title)
On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]
Author/s
(dc.contributor.yazarlar)
Dağıstan Şimşek, Burak Oğul
Publication type
(dc.type)
Makale
Language
(dc.language)
İngilizce
Publication year
(dc.date.issued)
2019
National/International
(dc.identifier.ulusaluluslararasi)
Ulusal
Source
(dc.relation.journal)
MANAS Journal of Engineering (MJEN)
Number
(dc.identifier.issue)
2
Volume/Issue
(dc.identifier.volume)
7
Page
(dc.identifier.startpage)
147-156
ISSN/ISBN
(dc.identifier.issn)
Online ISSN: 1694-7398
Publisher
(dc.publisher)
Kyrgyz - Turkish Manas University
Databases
(dc.contributor.veritaban)
Ulakbim (DergiPark)
Databases
(dc.contributor.veritaban)
EBSCOHost
Index Type
(dc.identifier.index)
Alan Indeks
Abstract
(dc.description.abstract)
The behaivour of the solutions of the following system of difference equations is examined,
Abstract
(dc.description.abstract)
x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]
Abstract
(dc.description.abstract)
where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations
URL
(dc.rights)
https://dergipark.org.tr/en/pub/mjen/issue/50947/533936
Faculty / Institute
(dc.identifier.fakulte)
Fen Fakültesi
Department
(dc.identifier.bolum)
Uygulamalı Matematik ve Enformatik Bölümü
Author(s) in the Institution
(dc.contributor.author)
Burak OĞUL
Kayıt No
(dc.identifier.kayitno)
BLC7963C57
Record Add Date
(dc.date.available)
2019-12-27
Notes (Publication year)
(dc.identifier.notyayinyili)
2019
Subject Headings
(dc.subject)
difference equation
Subject Headings
(dc.subject)
rational difference equation
Subject Headings
(dc.subject)
period 21 solutions
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