Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Global Asymptotic Stability of A Two Dimensional System of Difference Equations with Quadratic Terms

Version 1 : Received: 23 September 2020 / Approved: 25 September 2020 / Online: 25 September 2020 (11:44:44 CEST)

A peer-reviewed article of this Preprint also exists.

Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01442-4 Taşdemir, E. On the global asymptotic stability of a system of difference equations with quadratic terms. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s12190-020-01442-4

Journal reference: Journal of Applied Mathematics and Computing 2020, 1-15
DOI: 10.1007/s12190-020-01442-4

Abstract

In this paper, we study the global asymptotically stability of following system of difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-1}²)),y_{n+1}=A+B((x_{n})/(x_{n-1}²)) where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.

Subject Areas

difference equations; dynamical systems; global stability; rate of convergence; boundedness; oscillation

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