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...
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Format: | Article |
Language: | English |
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Wiley
2006-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/DDNS/2006/53890 |
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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 |