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AMJCUB
Applied Mathematics-A Journal of Chinese Universities  2021, Vol. 36 Issue (1): 51-59    DOI:
    
Global asymptotical stability in a rational difference equation
LI Xian-yi, LI Wei
Institute of Nonlinear Analysis and Department of Big Data Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
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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].

Key words： global asymptotic stability      global attractivity      Open problem and conjecture      Schwartzian derivative      rational difference equation     
Published: 01 March 2021
CLC:  39A10  
  39A11  
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LI Xian-yi
LI Wei
Cite this article:

LI Xian-yi, LI Wei. Global asymptotical stability in a rational difference equation. Applied Mathematics-A Journal of Chinese Universities, 2021, 36(1): 51-59.

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http://www.zjujournals.com/amjcub/     OR     http://www.zjujournals.com/amjcub/Y2021/V36/I1/51


Global asymptotical stability in a rational difference equation

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].

关键词： global asymptotic stability,  global attractivity,  Open problem and conjecture,  Schwartzian derivative,  rational difference equation 
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