On Dynamics and Solutions Expressions of Higher-Order Rational Difference Equations

Authors : Elsayed ELSAYED, Faiza AL-RAKHAMİ

Pages : 39-61

Doi:10.54286/ikjm.1131769

View : 85 | Download : 92

Publication Date : 2023-08-22

Article Type : Research Paper

Abstract :The principle goal of this paper is to look at some of the qualitative behavior of the critical point of the rational difference equation Ψ_{n+1}=αΨ_{n-2}+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(βΨ_{n-2}Ψ_{n-3});/insert ignore into journalissuearticles values(γΨ_{n-3}+δΨ_{n-6}););, n=0,1,2,..., where α,β,γ and δ are arbitrary positive real numbers. We also used the proposed equation to get the general solution for particular cases and provided numerical examples to demonstrate our results.
Keywords : Solutions expressions of difference equation, local and global stability, boundedness