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

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,.

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Correspondence to Xiaofan Yang.

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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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Yang, X., Yang, M. & Liu, H. A Part-Metric-Related Inequality Chain and Application to the Stability Analysis of Difference Equation. J Inequal Appl 2007, 019618 (2007). https://doi.org/10.1155/2007/19618

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

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