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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |