We establish constructive conditions for the solvability of a linear Noetherian boundary-value problem for a matrix difference equation and propose a procedure of construction of its solutions. We suggest an original scheme of regularization of a linear Noetherian boundary-value problem for a linear degenerate system of difference equations.

中文翻译：

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矩阵差分方程的线性Noether边值问题

我们为矩阵差分方程的线性Noetherian边值问题的可解性建立了构造条件，并提出了其解的构造步骤。我们为差分方程的线性退化系统提出了线性Noetherian边值问题正则化的原始方案。