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  • Research Article
  • Open Access

A Part-Metric-Related Inequality Chain and Application to the Stability Analysis of Difference Equation

Journal of Inequalities and Applications20072007:019618

  • Received: 8 October 2006
  • Accepted: 14 December 2006
  • Published:


We find a new part-metric-related inequality of the form , where . We then apply this result to show that is a globally asymptotically stable equilibrium of the rational difference equation , .


  • Stability Analysis
  • Difference Equation


Authors’ Affiliations

College of Computer Science, Chongqing University, Chongqing, 400044, China


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© Xiaofan Yang 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.