Abu-Sarris, Raghib M.; Al-Jubouri, Neda’a K. Characterization of rational periodic sequences. II. (English) Zbl 1049.39003 J. Difference Equ. Appl. 10, No. 4, 409-418 (2004). [For part I see R. M. Abu-Sarris, ibid. 6, No. 2, 233–242 (2000; Zbl 0949.39002).]Summary: We continue our investigation of the difference equation: \[ x_{n+1}=\frac{f(x_n)} {x_{n-1}} \] and characterize those functions for which all solutions of the above-mentioned difference equation are periodic of the same fundamental period \(p\). In particular, we address the cases \(p=3,4,5,6\). Cited in 5 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39A20 Multiplicative and other generalized difference equations Keywords:Rational difference equation; Periodicity; Periodic solution; Periodic of prime period; Rational periodic sequences Citations:Zbl 0949.39002 PDFBibTeX XMLCite \textit{R. M. Abu-Sarris} and \textit{N. K. Al-Jubouri}, J. Difference Equ. Appl. 10, No. 4, 409--418 (2004; Zbl 1049.39003) Full Text: DOI References: [1] Abu-Saris R, Far East J. Math. Scs. (FJMS) 1 pp 335– (1999) [2] DOI: 10.1080/10236190008808223 · Zbl 0949.39002 · doi:10.1080/10236190008808223 [3] Abu-Saris R, J. Comp. Anal. Appl. 2 pp 103– (2000) [4] Janowski EJ Kocic VL Ladas G Schultz SW Elaydi S Greaf J Ladas G Peterson A Global behavior of solutions of 273 282 1995 [5] DOI: 10.1007/978-94-017-1703-8 · doi:10.1007/978-94-017-1703-8 [6] Kulenovic M, Dynamics of Second Order Rational Difference Equations (2002) [7] DOI: 10.1080/1023619031000061061 · Zbl 1030.39012 · doi:10.1080/1023619031000061061 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.