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Applied Mathematics-A Journal of Chinese Universities  2021, Vol. 36 Issue (1): 51-59    
    
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
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
 全文: PDF 
摘要： 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    
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
出版日期: 2021-03-01
CLC:  39A10  
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引用本文:

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

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

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