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

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

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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Bibliographic Details
Main Authors:	Anna Andruch-Sobiło, Małgorzata Migda
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2006-01-01
Series:	Opuscula Mathematica
Subjects:	difference equation explicit formula positive solutions asymptotic stability
Online Access:	http://www.opuscula.agh.edu.pl/vol26/3/art/opuscula_math_2628.pdf

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