On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›

We investigate the global behaviour of the difference equation of higher order ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›, ๐‘›=0,1,โ€ฆ, where the parameters ๐›ผ,๐‘˜โˆˆ(0,โˆž) and the initial values ๐‘ฅโˆ’๐‘š,๐‘ฅโˆ’(๐‘šโˆ’1),โ€ฆ,๐‘ฅโˆ’2,๐‘ฅโˆ’1, and ๐‘ฅ0 are arbitrary positive real numbers....

Full description

Saved in:
Bibliographic Details
Main Author: ฤฐbrahim Yalรงinkaya
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/805460
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850159314245779456
author ฤฐbrahim Yalรงinkaya
author_facet ฤฐbrahim Yalรงinkaya
author_sort ฤฐbrahim Yalรงinkaya
collection DOAJ
description We investigate the global behaviour of the difference equation of higher order ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›, ๐‘›=0,1,โ€ฆ, where the parameters ๐›ผ,๐‘˜โˆˆ(0,โˆž) and the initial values ๐‘ฅโˆ’๐‘š,๐‘ฅโˆ’(๐‘šโˆ’1),โ€ฆ,๐‘ฅโˆ’2,๐‘ฅโˆ’1, and ๐‘ฅ0 are arbitrary positive real numbers.
format Article
id doaj-art-b189e3a1818449b78ddcd7141603117a
institution OA Journals
issn 1026-0226
1607-887X
language English
publishDate 2008-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-b189e3a1818449b78ddcd7141603117a2025-08-20T02:23:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/805460805460On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›ฤฐbrahim Yalรงinkaya0Department of Mathematics, Faculty of Education, Selcuk University, 42099 Meram Yeni Yol, Konya, TurkeyWe investigate the global behaviour of the difference equation of higher order ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›, ๐‘›=0,1,โ€ฆ, where the parameters ๐›ผ,๐‘˜โˆˆ(0,โˆž) and the initial values ๐‘ฅโˆ’๐‘š,๐‘ฅโˆ’(๐‘šโˆ’1),โ€ฆ,๐‘ฅโˆ’2,๐‘ฅโˆ’1, and ๐‘ฅ0 are arbitrary positive real numbers.http://dx.doi.org/10.1155/2008/805460
spellingShingle ฤฐbrahim Yalรงinkaya
On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›
Discrete Dynamics in Nature and Society
title On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›
title_full On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›
title_fullStr On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›
title_full_unstemmed On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›
title_short On the Difference Equation ๐‘ฅ๐‘›+1=๐›ผ+๐‘ฅ๐‘›โˆ’๐‘š/๐‘ฅ๐‘˜๐‘›
title_sort on the difference equation ๐‘ฅ๐‘› 1 ๐›ผ ๐‘ฅ๐‘› ๐‘š ๐‘ฅ๐‘˜๐‘›
url http://dx.doi.org/10.1155/2008/805460
work_keys_str_mv AT ibrahimyalcinkaya onthedifferenceequationxn1ฮฑxnmxkn