Stević, Stevo A note on the difference equation \(x_{n+1}=\sum_{i=0}^k\tfrac{\alpha_i}{x_{n-1}^{p_i}}\). (English) Zbl 1008.39005 J. Difference Equ. Appl. 8, No. 7, 641-647 (2002). For the difference equation \(x_{n+1}=\sum^k_{i=0} \alpha_ix_{n-i}^{-p_i}\) with positive \(\alpha_i\), \(p_i\) conditions are given concerning the exponents \(p_i\) such that every positive solution lies between positive bounds. Reviewer: Lothar Berg (Rostock) Cited in 14 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39B05 General theory of functional equations and inequalities Keywords:difference equations; bounded solutions; positive solution; positive bounds PDFBibTeX XMLCite \textit{S. Stević}, J. Difference Equ. Appl. 8, No. 7, 641--647 (2002; Zbl 1008.39005) Full Text: DOI References: [1] Papaschinopoulos G., Equations Appl. 6 (1) pp 75– (2000) [2] Differ J., Equations Appl. (2002) [3] DeVault R., Veszprem, Hungary, 1995, in: On the recursive sequence Xn+1 =(A/xpn) + (B/xqn-1), Proceedings of the Second International Conference on Difference Equations (2002) [4] DeVault R., J. Differ. Equations Appl. 4 (3) pp 259– (1998) [5] Papaschinopoulos G., J. Differ. Equations Appl. 6 (1) pp 75– (2000) · Zbl 0956.39004 · doi:10.1080/10236190008808214 [6] Papaschinopoulos, G. and Schinas, C.J. ”Errata on the paper ’On the difference equation xn+1=S k-1 i=0(Ai/xpi n-i)+(1/ xpk n-k),”’. · Zbl 0956.39004 [7] Philos Ch.G., Appl. Math. Comput. 62 pp 249– (1994) · Zbl 0817.39005 · doi:10.1016/0096-3003(94)90086-8 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.