Global asymptotical stability in a rational difference equation

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].

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2021-03, Vol.36 (1), p.51-59
Hauptverfasser: Li, Xian-yi, Li, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Difference equations
Mathematics
Mathematics and Statistics
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Zusammenfassung: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].
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-021-3586-y