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On a two-dimensional solvable system of difference equations

2018
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Electronic Journal of Qualitative Theory of Differential Equations
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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