First order difference system- existence and uniqueness
K. N. Murty, P. Anand, V. Lakshmi Prasannam · Proceedings of the American Mathematical Society · 1997
In this paper, the general solution of the homogeneous matrix difference system is constructed in terms of two fundamental matrix solutions. The general solution of the inhomogeneous matrix difference system is established by the variation of parameters formula. A unique solution of the two-point boundary value problem associated with the matrix difference system is constructed by applying the QR-algorithm and the Bartels-Stewart algorithm.