Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Dynamics of System of Higher Order Difference Equations with Quadratic Terms

Version 1 : Received: 5 October 2020 / Approved: 6 October 2020 / Online: 6 October 2020 (16:12:29 CEST)

How to cite: Taşdemir, E. Dynamics of System of Higher Order Difference Equations with Quadratic Terms. Preprints 2020, 2020100142 (doi: 10.20944/preprints202010.0142.v1). Taşdemir, E. Dynamics of System of Higher Order Difference Equations with Quadratic Terms. Preprints 2020, 2020100142 (doi: 10.20944/preprints202010.0142.v1).

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.

Subject Areas

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

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