Global Dynamics of a Higher Order Difference Equation with a Quadratic Term

Erkan Taşdemir

doi:10.20944/preprints202009.0622.v2

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, and m∈{2,3,⋯}. Especially we study the boundedness, periodicity, semi-cycles, global asymptotically stability and rate of convergence of solutions of related higher order difference equations.

Subject Areas

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Global Dynamics of a Higher Order Difference Equation with a Quadratic Term

Abstract

Subject Areas

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