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Global asymptotical stability in a rational difference equation

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Abstract

In this paper we prove a global attractivity result for the unique positive equilibrium point of a difference equation, which improves and generalizes some known ones in the existing literature. Especially, our results completely solve an open problem and some conjectures proposed in [1, 2, 3, 4].

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Authors and Affiliations

  1. Institute of Nonlinear Analysis and Department of Big Data Science, Zhejiang University of Science and Technology, Hangzhou, 310023, China

    Xian-yi Li & Wei Li

Authors
  1. Xian-yi Li
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  2. Wei Li
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Correspondence to Xian-yi Li.

Additional information

Supported by the National Natural Science Foundation of China (61473340), the Distinguished Professor Foundation of Qianjiang Scholar in Zhejiang Province, the National Natural Science Foundation of Zhejiang Province (LQ13A010019) and the National Natural Science Foundation of Zhejiang University of Science and Technology (F701108G14).

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Li, Xy., Li, W. Global asymptotical stability in a rational difference equation. Appl. Math. J. Chin. Univ. 36, 51–59 (2021). https://doi.org/10.1007/s11766-021-3586-y

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  • DOI: https://doi.org/10.1007/s11766-021-3586-y

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