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Dynamics of System of Higher Order Difference Equations with Quadratic Terms

This version is not peer-reviewed.

Submitted:

05 October 2020

Posted:

06 October 2020

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Abstract
This paper aims to investigate the global asymptotic stability of following system of higher order difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-m}²)),y_{n+1}=A+B((x_{n})/(x_{n-m}²)) where A and B are positive numbers and the initial values are positive numbers. We also study the rate of convergence and oscillation behaviour of the solutions of related system.
Keywords: 
Difference equations; global asymptotic stability; boundedness; rate of convergence; oscillation
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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