Solvability of two-dimensional system of difference equations with constant coefficients

İn the present paper, the solutions of the following system of difference equations [Formula In Abstract] where the initial values u−l, v−l, for l = 1,6 and the parameters αp, βp, γp, δp, for p {1,2} are non-zero real numbers, are investigated. In addition, the solutions of the aforementioned system of difference equations are presented by utilizing the Fibonacci sequence when the parameters are equal to 1. Finally, the periodic solutions according to some special cases of the parameters are obtained. © 2024, Nihat AKGUNES. All rights reserved.