Version 1
: Received: 5 October 2020 / Approved: 6 October 2020 / Online: 6 October 2020 (16:12:29 CEST)
How to cite:
Taşdemir, E. Dynamics of System of Higher Order Difference Equations with Quadratic Terms. Preprints2020, 2020100142. https://doi.org/10.20944/preprints202010.0142.v1
Taşdemir, E. Dynamics of System of Higher Order Difference Equations with Quadratic Terms. Preprints 2020, 2020100142. https://doi.org/10.20944/preprints202010.0142.v1
Taşdemir, E. Dynamics of System of Higher Order Difference Equations with Quadratic Terms. Preprints2020, 2020100142. https://doi.org/10.20944/preprints202010.0142.v1
APA Style
Taşdemir, E. (2020). Dynamics of System of Higher Order Difference Equations with Quadratic Terms. Preprints. https://doi.org/10.20944/preprints202010.0142.v1
Chicago/Turabian Style
Taşdemir, E. 2020 "Dynamics of System of Higher Order Difference Equations with Quadratic Terms" Preprints. https://doi.org/10.20944/preprints202010.0142.v1
Abstract
This paper aims to investigate the global asymptotic stability of following system of higher order difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-m}²)),y_{n+1}=A+B((x_{n})/(x_{n-m}²)) where A and B are positive numbers and the initial values are positive numbers. We also study the rate of convergence and oscillation behaviour of the solutions of related system.
Keywords
Difference equations; global asymptotic stability; boundedness; rate of convergence; oscillation
Subject
Computer Science and Mathematics, Applied Mathematics
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.
