$On a conjecture for the difference equation $ x_{n+1} = 1+p\frac{x_{n-m}}{x_n^2} $$

On a conjecture for the difference equation $ x_{n+1} = 1+p\frac{x_{n-m}}{x_n^2} $

In <sup>[<xref ref-type="bibr" rid="b24">24</xref>]</sup>, E. Tasdemir, et al. proved that the positive equilibrium of the nonlinear discrete equation $ x_{n+1} = 1+p\frac{x_{n-m}}{x_n^2} $ is globally asymptotically stable for $ p\in(0, \frac{1}{2}) $, {l...

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Bibliographic Details
Main Author:	George L. Karakostas
Format:	Article
Language:	English
Published:	AIMS Press 2023-07-01
Series:	AIMS Mathematics
Subjects:	difference equations asymptotic stability equilibrium periodic solutions
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.20231156?viewType=HTML

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