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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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
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spelling doaj-f942d75369f64325b11c914639546b4a2020-11-25T00:58:55ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472005-01-0120051548479On the recursive sequenceDeVault RPapaschinopoulos GCamouzis E<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>http://www.advancesindifferenceequations.com/content/2005/548479
collection DOAJ
language English
format Article
sources DOAJ
author DeVault R
Papaschinopoulos G
Camouzis E
spellingShingle DeVault R
Papaschinopoulos G
Camouzis E
On the recursive sequence
Advances in Difference Equations
author_facet DeVault R
Papaschinopoulos G
Camouzis E
author_sort DeVault R
title On the recursive sequence
title_short On the recursive sequence
title_full On the recursive sequence
title_fullStr On the recursive sequence
title_full_unstemmed On the recursive sequence
title_sort on the recursive sequence
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2005-01-01
description <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>
url http://www.advancesindifferenceequations.com/content/2005/548479
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