On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

In this paper, given solutions fort he following difference equationx(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equati...

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Main Authors: Dağistan Şimşek, Burak Oğul
Format: Article
Language:English
Published: Kyrgyz Turkish Manas University 2020-12-01
Series:MANAS: Journal of Engineering
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1137855
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author Dağistan Şimşek
Burak Oğul
author_facet Dağistan Şimşek
Burak Oğul
author_sort Dağistan Şimşek
collection DOAJ
description In this paper, given solutions fort he following difference equationx(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.
format Article
id doaj-art-d160b50aef264b52a8051b09f3be4559
institution Kabale University
issn 1694-7398
language English
publishDate 2020-12-01
publisher Kyrgyz Turkish Manas University
record_format Article
series MANAS: Journal of Engineering
spelling doaj-art-d160b50aef264b52a8051b09f3be45592025-02-03T12:07:27ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982020-12-018215516310.51354/mjen.7484501437On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]Dağistan Şimşek0https://orcid.org/0000-0003-3003-807XBurak Oğul1https://orcid.org/0000-0002-3264-4340KONYA TEKNİK ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ, ENDÜSTRİ MÜHENDİSLİĞİ BÖLÜMÜKYRGYZ - TURKISH MANAS UNIVERSITY, INSTITUTE OF SCIENCEIn this paper, given solutions fort he following difference equationx(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.https://dergipark.org.tr/en/download/article-file/1137855difference equationsrecursive sequencesrecursive
spellingShingle Dağistan Şimşek
Burak Oğul
On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
MANAS: Journal of Engineering
difference equations
recursive sequences
recursive
title On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
title_full On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
title_fullStr On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
title_full_unstemmed On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
title_short On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]
title_sort on the recursive sequence x n x n 14 1 x n 2 x n 5 x n 8 x n 11
topic difference equations
recursive sequences
recursive
url https://dergipark.org.tr/en/download/article-file/1137855
work_keys_str_mv AT dagistansimsek ontherecursivesequencexnxn141xn2xn5xn8xn11
AT burakogul ontherecursivesequencexnxn141xn2xn5xn8xn11