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Advances in Continuous and Discrete Models

Theory and Modern Applications

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On the recursive sequence

Advances in Difference Equations volume 2005, Article number: 548479 (2005) Cite this article

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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Authors and Affiliations

  1. Department of Mathematics, Deree College, The American College of Greece, Aghia Paraskevi, Athens, 15342, Greece

    E Camouzis

  2. Department of Mathematics, Northwestern State University of Louisiana, Natchitoches, LA, 71497, USA

    R DeVault

  3. Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, 67100, Greece

    G Papaschinopoulos

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  1. E Camouzis
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  2. R DeVault
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  3. G Papaschinopoulos
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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