Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

How to cite: Taşdemir, E. Global Dynamics of a Higher Order Difference Equation with Quadratic Term. Preprints 2020, 2020090622 (doi: 10.20944/preprints202009.0622.v1). Taşdemir, E. Global Dynamics of a Higher Order Difference Equation with Quadratic Term. Preprints 2020, 2020090622 (doi: 10.20944/preprints202009.0622.v1).

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.