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

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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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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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation