Solution of a Solvable System of Difference Equation

Yıl 2022, Cilt: 4 Sayı: 1, 1 - 8, 23.09.2022

Ali Gelişken Murat Arı

https://doi.org/10.54286/ikjm.1050493

Öz

In this study we give solutions for the following difference equation sytem
x_{n+1}= (a.x_{n}y_{n-3}/y_{n-2}-\alpha)+\beta y_{n+1}=(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.

Anahtar Kelimeler

Difference equations, Periodicity, System of difference equations, Asymptotic behavior

Kaynakça

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