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Theory and Modern Applications

On the recursive sequence

Abstract

Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation xn+1 = (γxn-1 + δxn-2)/(x n + xn-2), n = 0,1,..., where the parameters γ and δ and the initial conditions are positive real numbers.

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Correspondence to E Camouzis.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Camouzis, E., DeVault, R. & Papaschinopoulos, G. On the recursive sequence. Adv Differ Equ 2005, 548479 (2005). https://doi.org/10.1155/ADE.2005.31

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  • DOI: https://doi.org/10.1155/ADE.2005.31