On monotone solutions of some classes of difference equations

<p>We describe a method for finding monotone solutions of some classes of difference equations converging to the corresponding equilibria. The method enables us to confirm three conjectures posed by the present author in a talk, which are extensions of three conjectures by M. R. S. Kulenovi&am...

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Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/53890
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description <p>We describe a method for finding monotone solutions of some classes of difference equations converging to the corresponding equilibria. The method enables us to confirm three conjectures posed by the present author in a talk, which are extensions of three conjectures by M. R. S. Kulenovi&#263; and G. Ladas, <emph>Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures</emph>. Chapman and Hall/CRC, 2002. It is interesting that the method, in some cases, can be applied also when the parameters are variable.</p>
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institution Kabale University
issn 1026-0226
language English
publishDate 2006-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-d6938b18c91e477d9c625c2df14336d02025-02-03T05:53:13ZengWileyDiscrete Dynamics in Nature and Society1026-02262006-01-012006On monotone solutions of some classes of difference equations<p>We describe a method for finding monotone solutions of some classes of difference equations converging to the corresponding equilibria. The method enables us to confirm three conjectures posed by the present author in a talk, which are extensions of three conjectures by M. R. S. Kulenovi&#263; and G. Ladas, <emph>Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures</emph>. Chapman and Hall/CRC, 2002. It is interesting that the method, in some cases, can be applied also when the parameters are variable.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/53890
spellingShingle On monotone solutions of some classes of difference equations
Discrete Dynamics in Nature and Society
title On monotone solutions of some classes of difference equations
title_full On monotone solutions of some classes of difference equations
title_fullStr On monotone solutions of some classes of difference equations
title_full_unstemmed On monotone solutions of some classes of difference equations
title_short On monotone solutions of some classes of difference equations
title_sort on monotone solutions of some classes of difference equations
url http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/53890