Voulov, H. D. On a difference equation with periodic coefficients. (English) Zbl 1121.39011 J. Difference Equ. Appl. 13, No. 5, 443-452 (2007). The paper concerns the difference equation \(x_n= \max\{A_n/x_{n-1}, B_n/x_{n-2}\}\) with positive \(k\)-periodic coefficients. In the case \(k= 2\) it is shown that every positive solution is eventually periodic with period 2, 3, 4 or 6. The case \(k= 3\) is also investigated. Reviewer: Lothar Berg (Rostock) Cited in 16 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39A10 Additive difference equations 39A20 Multiplicative and other generalized difference equations Keywords:max difference equations; eventually periodic solutions; rational difference equation; positive solution PDFBibTeX XMLCite \textit{H. D. Voulov}, J. Difference Equ. Appl. 13, No. 5, 443--452 (2007; Zbl 1121.39011) Full Text: DOI References: [1] DOI: 10.1016/S0898-1221(98)80040-0 · Zbl 0933.39030 · doi:10.1016/S0898-1221(98)80040-0 [2] Briden W.J., Proceedings of the Third International Conference on Difference Equations and Applications pp 49– (1999) [3] Briden W.J., Communications on Applied Nonlinear Analysis 6 pp 31– (1999) [4] Grove E.A., Fields Institute Communications 29 (2001) [5] Grove E.A., Periodicities in Nonlinear Difference Equations (2005) · Zbl 1078.39009 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.