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Global Asymptotic Stability in a Class of Difference Equations

Advances in Difference Equations volume 2007, Article number: 016249 (2008) Cite this article

Abstract

We study the difference equation , , , where and are all continuous functions, and We prove that this difference equation admits as the globally asymptotically stable equilibrium. This result extends and generalizes some previously known results.

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Authors and Affiliations

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

    Xiaofan Yang & Yuan Yan Tang

  2. School of Computer and Information, Chongqing Jiaotong University, Chongqing, 400074, China

    Xiaofan Yang & Jianqiu Cao

  3. Department of Computer Science, Hong Kong Baptist University, Kowloon, Hong Kong

    Limin Cui & Yuan Yan Tang

Authors
  1. Xiaofan Yang
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  2. Limin Cui
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  3. Yuan Yan Tang
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  4. Jianqiu Cao
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Corresponding author

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., Cui, L., Tang, Y.Y. et al. Global Asymptotic Stability in a Class of Difference Equations. Adv Differ Equ 2007, 016249 (2008). https://doi.org/10.1155/2007/16249

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  • DOI: https://doi.org/10.1155/2007/16249

Keywords

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