Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Global Dynamics of a Higher Order Difference Equation with a 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, 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

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

Comments (1)

Comment 1
Received: 23 November 2020
Commenter: Erkan Taşdemir
Commenter's Conflict of Interests: Author
Comment: We have updated the results of paper such as boundedness, semi-cycles etc.
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