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On a k-Order System of Lyness-Type Difference Equations

Advances in Difference Equations volume 2007, Article number: 031272 (2007) Cite this article

Abstract

We consider the following system of Lyness-type difference equations: , , , , where , , , are positive constants, is an integer, and the initial values are positive real numbers. We study the existence of invariants, the boundedness, the persistence, and the periodicity of the positive solutions of this system.

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Authors and Affiliations

  1. School of Engineering, Democritus University of Thrace, Xanthi, 67100, Greece

    G. Papaschinopoulos, C. J. Schinas & G. Stefanidou

Authors
  1. G. Papaschinopoulos
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  2. C. J. Schinas
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  3. G. Stefanidou
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Correspondence to G. Papaschinopoulos.

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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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Papaschinopoulos, G., Schinas, C.J. & Stefanidou, G. On a k-Order System of Lyness-Type Difference Equations. Adv Differ Equ 2007, 031272 (2007). https://doi.org/10.1155/2007/31272

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  • DOI: https://doi.org/10.1155/2007/31272

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