Szalkai, István On the periodicity of the sequence \(x_{n+1} = \max\{\frac{A_0}{x_n},\frac{A_1}{x_{n-1}},\cdots,\frac{A_k}{x_{n-k}}\}\). (English) Zbl 0930.39011 J. Difference Equ. Appl. 5, No. 1, 25-29 (1999). The author gives a complete characterization of the sequence defined by \[ x_{n+1}=\max \left\{{A_0\over x_n},\dots,{A_k\over x_{n-k}} \right \}(n\geq k), \] when \(A_0<0,\dots,A_k<0\) solving an open problem of G. Ladas. Reviewer: István Győri (Veszprém) Cited in 1 ReviewCited in 26 Documents MSC: 39A11 Stability of difference equations (MSC2000) Keywords:periodic solution; difference equation PDF BibTeX XML Cite \textit{I. Szalkai}, J. Difference Equ. Appl. 5, No. 1, 25--29 (1999; Zbl 0930.39011) Full Text: DOI OpenURL References: [1] DOI: 10.1080/10236199608808067 [2] Amleh A.M., Computers and Math. with Appl. 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.