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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

https://doi.org/10.1155/2007/19618

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

Abstract

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 , .

Keywords

  • Stability Analysis
  • Difference Equation

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Authors’ Affiliations

(1)
College of Computer Science, Chongqing University, Chongqing, 400044, China

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