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Stevic, Stevo

doi:https://doi.org/10.1155/2007/34517

Discrete Dynamics in Nature and Society

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Research Article | Open Access

Volume 2007 | Article ID 034517 | https://doi.org/10.1155/2007/34517

On the Recursive Sequence xn+1=A+xnp/xn−1p

Stevo Stevic¹

Received04 Jul 2006

Revised07 Nov 2006

Accepted09 Jan 2007

Published21 Feb 2007

Abstract

This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn−1p, n∈ℕ0, with p,A∈(0,∞). The main results give a complete picture regarding the boundedness character of the positive solutions of the equation.

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Copyright

Copyright © 2007 Stevo Stević. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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