Andruch-Sobiło, Anna; Migda, Małgorzata Further properties of the rational recursive sequence \(x_{n+1}=\frac {ax_{n-1}} {b+cx_n x_{n-1}}\). (English) Zbl 1131.39003 Opusc. Math. 26, No. 3, 387-394 (2006). Summary: We consider the difference equation \[ x_{n+1}=\frac{ax_{n-1}}{b+cx_n x_{n-1}}\,\quad n=0,1,\dots\tag{E} \]with positive parameters \(a\) and \(c\), negative parameter \(b\) and nonnegative initial conditions. We investigate the asymptotic behavior of solutions of equation (E). Cited in 1 ReviewCited in 33 Documents MSC: 39A10 Additive difference equations Keywords:rational difference equation; positive solutions; asymptotic stability PDFBibTeX XMLCite \textit{A. Andruch-Sobiło} and \textit{M. Migda}, Opusc. Math. 26, No. 3, 387--394 (2006; Zbl 1131.39003)