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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Language: | English |
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Wiley
2006-01-01
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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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collection | DOAJ |
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. Kulenović 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> |
format | Article |
id | doaj-art-d6938b18c91e477d9c625c2df14336d0 |
institution | Kabale University |
issn | 1026-0226 |
language | English |
publishDate | 2006-01-01 |
publisher | Wiley |
record_format | Article |
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. Kulenović 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 |