Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Dynamics of a System of Higher Order Difference Equations with Quadratic Terms

Version 1 : Received: 1 April 2021 / Approved: 5 April 2021 / Online: 5 April 2021 (11:48:57 CEST)

How to cite: Taşdemir, E. Dynamics of a System of Higher Order Difference Equations with Quadratic Terms. Preprints 2021, 2021040082 (doi: 10.20944/preprints202104.0082.v1). Taşdemir, E. Dynamics of a System of Higher Order Difference Equations with Quadratic Terms. Preprints 2021, 2021040082 (doi: 10.20944/preprints202104.0082.v1).

Abstract

In this paper we investigate the global asymptotic stability of following system ofhigher order difference equations with quadratic terms:xn+1=A+Byn/ynm^2, yn+1=A+Bxn/xnm^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.

Subject Areas

Difference equations; global asymptotic stability; boundedness; rate of convergence; oscillation

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