The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order

Year 2023, Volume: 11 Issue: 1, 158 - 165, 01.07.2023

Burak Oğul , Dağıstan Şimşek , Ibrahim Tarek Fawzi Abdelhamid

https://doi.org/10.51354/mjen.1233063

Cited By: 1

Abstract

We explore the dynamics of adhering to rational difference formula
$$ \psi_{m+1}=\frac{\psi_{m-20}}{\pm 1 \pm \psi_{m-2}\psi_{m-5}\psi_{m-8}\psi_{m-11}\psi_{m-14}\psi_{m-17}\psi_{m-20}}, \quad m \in \mathbb{N}_{0} $$
where the initials are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. Additionally, we provide examples and solutions graphs of some special cases.

Keywords

Equilibrium point, solution of difference equation, stability, boundedness, global asymptotic stability

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