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)
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
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
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.
Keywords
difference equations; global stability; rate of convergence; boundedness; periodicity
Subject
Computer Science and Mathematics, Algebra and Number Theory
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.
