On a three dimensional higher order system of difference equations

Abstract

In this work, we derive the solutions form of the following three-dimensional system of nonlinear difference equations of higher-order (Formula presented). where the parameters α, β, a, b, A, B and the initial values x−i, y−i, z−i, i ∈ {0, 1, …, k} are non-zero real numbers. provided in details. The behavior of the solutions of our system with p = 1 is.