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On the boundedness character of rational systems in the plane. (English) Zbl 1243.39010

The authors comment on new methods for solving several conjectures by E. Camouzis and G. Ladas [Dynamics of third-order rational difference equations with open problems and conjectures. Advances in Discrete Mathematics and its Applications 5. Boca Raton, FL: Chapman & Hall/CRC (2008; Zbl 1129.39002)] regarding boundedness of solutions of first order systems of rational difference equations with nonnegative coefficients.

MSC:

39A20 Multiplicative and other generalized difference equations
39A22 Growth, boundedness, comparison of solutions to difference equations

Citations:

Zbl 1129.39002
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References:

[1] DOI: 10.1080/10236190802125264 · Zbl 1169.39010
[2] E. Camouzis and G. Ladas, Global results on rational systems in the plane, part 1, J. Difference Equ. Appl. 15 (2009) · Zbl 1218.39001
[3] DOI: 10.1080/10236190500539311 · Zbl 1104.39003
[4] G. Lugo and F. Palladino, Unboundedness for some classes of rational difference equations, Int. J. Difference Equ., 4 (2009), pp. 97–113
[5] DOI: 10.2140/involve.2008.1.91 · Zbl 1154.39012
[6] DOI: 10.1080/10236190802119903 · Zbl 1169.39005
[7] F.J. Palladino, On periodic trichotomies, J. Difference Equ. Appl. 15 (2009), pp. 605–620 · Zbl 1207.39018
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