Kocic, V. L.; Ladas, G.; Rodrigues, I. W. On rational recursive sequences. (English) Zbl 0777.39002 J. Math. Anal. Appl. 173, No. 1, 127-157 (1993). The present study is related to the global asymptotic behavior, the oscillatory character and the periodic nature of all solutions of the rational recursive sequences; \(x_{n+1}=[a+\sum^{k-1}_{i=0}b_ ix_{n-i}]/x_{n-k}\), and \(x_{n+1}=(a+bx_ n)/(A+x_{n-k})\), \(n=0,1,2,\dots\), which arises due to an open problem [problem # 1343, Math., Mag. 63, No. 2, 125 (1990)]. Reviewer: B.M.Agrawal (Lashkar-Gwalior) Cited in 4 ReviewsCited in 95 Documents MSC: 39A10 Additive difference equations 39A11 Stability of difference equations (MSC2000) Keywords:periodic solutions; global asymptotic behavior; oscillatory character; rational recursive sequences PDF BibTeX XML Cite \textit{V. L. Kocic} et al., J. Math. Anal. Appl. 173, No. 1, 127--157 (1993; Zbl 0777.39002) Full Text: DOI