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Global stability for a class of difference equation

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Abstract

In this paper the global stability of difference equation \(x_{n + 1} = \frac{{a + bx_n }}{{A + x_{n--1} }}\) is studied and a sufficient condition is obtained, which improves some previous results.

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References

  1. Kocic, V. L., Ladas, G., Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht, 1993.

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Authors and Affiliations

  1. Institute of Mathemactica, Fudan Univ., 200433, Shanghai

    Ou Chunhua

  2. Basic Sciences Department, Centre-South Institute of Technology, 421001, Hengyang

    Ou Chunhua, Tang Hengsheng & Luo Wei

Authors
  1. Ou Chunhua
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  2. Tang Hengsheng
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  3. Luo Wei
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Chunhua, O., Hengsheng, T. & Wei, L. Global stability for a class of difference equation. Appl. Math. Chin. Univ. 15, 33–36 (2000). https://doi.org/10.1007/s11766-000-0006-7

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  • DOI: https://doi.org/10.1007/s11766-000-0006-7

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