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On the boundedness character of some rational difference equations. (English) Zbl 1153.39016

The authors study the boundedness character of positive solutions to special cases of certain rational difference equations. They show that, if the results are applied to fourth order equations, they confirm a conjecture in [E. Camouzis, G. Ladas, F. Palladino and E.P. Quinn, J. Difference Equ. Appl. 12, No. 5, 503–523 (2006; Zbl 1104.39003)].

MSC:

39A11 Stability of difference equations (MSC2000)

Citations:

Zbl 1104.39003
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References:

[1] DOI: 10.1080/10236190500539279 · Zbl 1104.39002 · doi:10.1080/10236190500539279
[2] DOI: 10.1080/10236190500405166 · Zbl 1099.39003 · doi:10.1080/10236190500405166
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