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 |
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| Language: | English |
| Published: |
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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| Summary: | <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> |
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| ISSN: | 1026-0226 |