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

Xianyi Li; Luyao Lv; Xianyi Li; Luyao Lv

doi:10.3934/mmc.2024021

Mathematical Modelling and Control

2024, Volume 4, Issue 3: 260-272. doi: 10.3934/mmc.2024021

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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

Received: 15 February 2024 Accepted: 17 May 2024 Published: 23 July 2024

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.
- rational difference equation with higher order,
- global attractivity,
- globally asymptotically stable,
- Schwarzian derivative,
- conjecture
Citation: Xianyi Li, Luyao Lv. Global attractivity of a rational difference equation with higher order and its applications[J]. Mathematical Modelling and Control, 2024, 4(3): 260-272. doi: 10.3934/mmc.2024021

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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.

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