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  • Research Article
  • Open Access

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

Advances in Difference Equations20072007:031272

  • Received: 17 January 2007
  • Accepted: 14 June 2007
  • Published:


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.


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


Authors’ Affiliations

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


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© G. Papaschinopoulos et al. 2007

This article is published under license to BioMed Central Ltd. 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.