@Article{AndruchSobiło2006,
author = "Andruch-Sobiło, Anna and Migda, Małgorzata",
title = "Further properties of the rational recursive sequence \(x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}\)",
journal = "Opuscula Math.",
year = "2006",
volume = "26",
number = "3",
pages = "387--394",
doi = "http://dx.doi.org/10.7494/OpMath.2006.26.3.387",
url = "http://dx.doi.org/10.7494/OpMath.2006.26.3.387",
abstract = "In this paper we consider the difference equation \[x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}, \quad n=0,1,...\tag{E}\] with positive parameters \(a\) and \(c\), negative parameter \(b\) and nonnegative initial conditions. We investigate the asymptotic behavior of solutions of equation \(\text{(E)}\).",
keywords = "difference equation, explicit formula, positive solutions, asymptotic stability",
issn = "1232-9274"
}