Preprint
Article
Dynamics of a System of Higher Order Difference Equations with Quadratic Terms
This version is not peer-reviewed.
Submitted:
01 April 2021
Posted:
05 April 2021
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Abstract
In this paper we investigate the global asymptotic stability of following system ofhigher order difference equations with quadratic terms:xn+1=A+Byn/yn−m^2, yn+1=A+Bxn/xn−m^2, where A and B are positive numbers and the initial values are positive numbers.We also study the boundedness, rate of convergence and oscillation behaviour of thesolutions of related system.
Keywords:
Difference equations
; global asymptotic stability
; boundedness
; rate of convergence
; oscillation
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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