On monotone solutions of some classes of difference equations

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. Kulenović and G. Lad...

Full description

Saved in:
Bibliographic Details
Main Author: Stevo Stevic
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS/2006/53890
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832554708974174208
author Stevo Stevic
author_facet Stevo Stevic
author_sort Stevo Stevic
collection DOAJ
description 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. Kulenović and G. Ladas, Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures. Chapman and Hall/CRC, 2002. It is interesting that the method, in some cases, can be applied also when the parameters are variable.
format Article
id doaj-art-62f9743757234ac7b4024fa025205941
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-62f9743757234ac7b4024fa0252059412025-02-03T05:50:42ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/5389053890On monotone solutions of some classes of difference equationsStevo Stevic0Mathematical Institute of the Serbian Academy of Science Knez Mihailova 35/I, Beograd 11000, SerbiaWe 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. Kulenović and G. Ladas, Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures. Chapman and Hall/CRC, 2002. It is interesting that the method, in some cases, can be applied also when the parameters are variable.http://dx.doi.org/10.1155/DDNS/2006/53890
spellingShingle Stevo Stevic
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://dx.doi.org/10.1155/DDNS/2006/53890
work_keys_str_mv AT stevostevic onmonotonesolutionsofsomeclassesofdifferenceequations