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Research Article | Open Access

Global attractivity of a rational difference equation with higher order and its applications

Xianyi Li( ), Luyao Lv
Department of Big Data Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
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Abstract

We study in this paper the global attractivity for a higher order rational difference equation. As application, our results not only include and generalize many known ones, but also formulate some new results for several conjectures presented by Camouzis and Ladas, et al.

Keywords

rational difference equation with higher orderglobal attractivityglobally asymptotically stableSchwarzian derivativeconjecture

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Mathematical Modelling and Control
Volume 4 Issue 3,
September 2024
Pages 260-272
DOI: 10.3934/mmc.2024021

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Li X, Lv L. Global attractivity of a rational difference equation with higher order and its applications. Mathematical Modelling and Control, 2024, 4(3): 260-272. https://doi.org/10.3934/mmc.2024021

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Received: 15 February 2024
Accepted: 17 May 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)