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In this article, we investigate an m-order discrete problem with additional conditions which are described by m of linearly independent linear functionals. We have presented a formula and the existence condition of Green's function, if the general solution of a homogeneous equation is known. We have obtained the relation between two Green's functions of two inhomogeneous problems. It allows us to find Green's function for the same equation but with different additional conditions. The obtaineddoi:10.15388/lmr.2011.sm02 fatcat:behlgbstdzdgxctsbysyqgee5e