Abstract

In this research, we consider a nonhomogeneous linear difference equation with constant coefficients of orderk� 2 subject to boundary conditions that split into two groups: initial and final conditions. We establish necessary and / or sufficient conditions on the distribution(s) of the zeros of the associated characteristic polynomial that ensure the existence of a unique solution. 1. Introduction. Consider the k th order linear difference equation with con- stant coefficients: k X

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