Solution of a Solvable System of Difference Equation

Authors : Ali GELİŞKEN, Murat ARI

Pages : 1-8

Doi:10.54286/ikjm.1050493

View : 20 | Download : 12

Publication Date : 2022-09-23

Article Type : Research Paper

Abstract :In this study we give solutions for the following difference equation sytem x_{n+1}= insert ignore into journalissuearticles values(a.x_{n}y_{n-3}/y_{n-2}-\alpha);+\beta y_{n+1}=insert ignore into journalissuearticles values(b.x_{n-3}y_{n}/x_{n-2}-\beta); +\alpha n ∈N0 where the parameters a,b,, and initial values x_{-i}, y_{-i}, i=0,1,2,3 are non-zero real numbers. We show the asymptotic behavior of the system of equation.
Keywords : Difference equations, Periodicity, System of difference equations, Asymptotic behavior