On the recursive sequence

<p/> <p>Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation <it>x</it><sub><it>n</it>+1</sub> = (<it>&#947;x</it><sub><it>n<...

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Bibliographic Details
Main Authors: DeVault R, Papaschinopoulos G, Camouzis E
Format: Article
Language:English
Published: SpringerOpen 2005-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2005/548479
Description
Summary:<p/> <p>Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation <it>x</it><sub><it>n</it>+1</sub> = (<it>&#947;x</it><sub><it>n</it>-1</sub> + <it>&#948;x</it><sub><it>n</it>-2</sub>)/(<it>x</it><sub><it>n</it></sub> + <it>x</it><sub><it>n</it>-2</sub>), <it>n</it> = 0,1,..., where the parameters <it>&#947;</it> and <it>&#948;</it> and the initial conditions are positive real numbers.</p>
ISSN:1687-1839
1687-1847