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On a two-dimensional solvable system of difference equations
2018
Electronic Journal of Qualitative Theory of Differential Equations
Here we solve the following system of difference equations x n+1 = y n y n−2 bx n−1 + ay n−2 , y n+1 = x n x n−2 dy n−1 + cx n−2 , n ∈ N 0 , where parameters a, b, c, d and initial values x −j , y −j , j = 0, 2, are complex numbers, and give a representation of its general solution in terms of two specially chosen solutions to two homogeneous linear difference equations with constant coefficients associated to the system. As some applications of the representation formula for the general
doi:10.14232/ejqtde.2018.1.104
fatcat:g2tv5wufwfdihiopr5xbqvxkiq