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Global Dynamics of a Higher Order Difference Equation with a Quadratic Term

This version is not peer-reviewed.

Submitted:

20 November 2020

Posted:

23 November 2020

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Abstract
In this paper, we investigate the dynamics of following higher order difference equation x_{n+1}=A+B((x_{n})/(x_{n-m}²)) with A,B and initial conditions are positive numbers, and m∈{2,3,⋯}. Especially we study the boundedness, periodicity, semi-cycles, global asymptotically stability and rate of convergence of solutions of related higher order difference equations.
Keywords: 
difference equations; global stability; rate of convergence; boundedness; periodicity; semicycle
Subject: 
Computer Science and Mathematics  -   Applied Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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