On monotone solutions of some classes of difference equations

By S. Stević. 2006

58 citations recorded by the source corpus.

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. Kulenovic 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.

Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/f40c8c1562a3299062c4ae27be30ee7ab09ad14a

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In Applied Mathematics

1. S. Stević
2. Songxiao Li
3. Weifeng Yang
4. Steven G. Krantz
5. Lothar Berg
6. Dinggui Gu
7. Flavia Colonna
8. Bratislav Iricanin

In Geometry and Topology

1. S. Stević
2. Songxiao Li
3. Lothar Berg

In Public Health, Environmental and Occupational Health

1. S. Stević
2. Lothar Berg

Citations in the corpus

• On a solvable system of rational difference equations (2014, unknown): “(d) From (34) to (36) we have that Y 2m21”
• Asymptotics of Some Classes of Higher-Order Difference Equations (2007, background): “Here we extend one of the results from [31], for the case of (5.”