DOI: 10.7494/opmath.2006.26.3.387 ISSN: 1232-9274

Further properties of the rational recursive sequence \(x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}\)

Anna Andruch-Sobiło, Małgorzata Migda
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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 \(\text{(E)}\).

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