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  • Research Article
  • Open Access

Stability Results for a Class of Difference Systems with Delay

Advances in Difference Equations20102009:938492

  • Received: 2 November 2009
  • Accepted: 13 December 2009
  • Published:


Considering the linear delay difference system , where , is a real matrix, and is a positive integer, the stability domain of the null solution is completely characterized in terms of the eigenvalues of the matrix . It is also shown that the stability domain becomes smaller as the delay increases. These results may be successfully applied in the stability analysis of a large class of nonlinear difference systems, including discrete-time Hopfield neural networks.


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

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Authors’ Affiliations

Department of Mathematics and Computer Science, West University of Timisoara, Bd. C. Coposu 4, 300223 Timisoara, Romania


© Eva Kaslik. 2009

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.