Linear Noetherian Boundary-Value Problem for a Matrix Difference Equation

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...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2020-08, Vol.72 (3), p.386-402
Main Authors: Boichuk, A. A., Chuiko, S. M., Kalinichenko, Ya. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Boundary value problems
Difference equations
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrix methods
Regularization
Statistics
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Summary: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01789-8