Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Global Dynamics of a Higher Order Difference Equation with Quadratic Term

Version 1 : Received: 24 September 2020 / Approved: 26 September 2020 / Online: 26 September 2020 (10:56:03 CEST)
Version 2 : Received: 20 November 2020 / Approved: 23 November 2020 / Online: 23 November 2020 (09:27:44 CET)

A peer-reviewed article of this Preprint also exists.

Taşdemir, E. Global dynamics of a higher order difference equation with a quadratic term. J. Appl. Math. Comput. (2021). https://doi.org/10.1007/s12190-021-01497-x Taşdemir, E. Global dynamics of a higher order difference equation with a quadratic term. J. Appl. Math. Comput. (2021). https://doi.org/10.1007/s12190-021-01497-x

Journal reference: Journal of Applied Mathematics and Computing 2021, 1-15
DOI: 10.1007/s12190-021-01497-x

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. Especially we study the boundedness, periodicity, global asymptotically stability and rate of convergence of related higher order difference equations.

Subject Areas

difference equations; global stability; rate of convergence; boundedness; periodicity

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