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Title: On the Solvability of a Matrix Boundary-Value Problem

Abstract

We found solvability conditions and a construction of the generalized Green operator for a linear matrix boundary-value problem; we present an operator that reduces a linear matrix equation to the conventional linear Noether boundary-value problem. To solve a linear matrix system, we use the operator that reduces a linear matrix equation to a linear algebraic equation with a rectangular matrix.

Authors:
 [1]
  1. Donbass State Pedagogical University (Ukraine)
Publication Date:
OSTI Identifier:
22771265
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; GREEN FUNCTION; MATHEMATICAL OPERATORS; MATRICES

Citation Formats

Chuiko, S. M., E-mail: chujko-slav@inbox.ru. On the Solvability of a Matrix Boundary-Value Problem. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3792-2.
Chuiko, S. M., E-mail: chujko-slav@inbox.ru. On the Solvability of a Matrix Boundary-Value Problem. United States. doi:10.1007/S10958-018-3792-2.
Chuiko, S. M., E-mail: chujko-slav@inbox.ru. Tue . "On the Solvability of a Matrix Boundary-Value Problem". United States. doi:10.1007/S10958-018-3792-2.
@article{osti_22771265,
title = {On the Solvability of a Matrix Boundary-Value Problem},
author = {Chuiko, S. M., E-mail: chujko-slav@inbox.ru},
abstractNote = {We found solvability conditions and a construction of the generalized Green operator for a linear matrix boundary-value problem; we present an operator that reduces a linear matrix equation to the conventional linear Noether boundary-value problem. To solve a linear matrix system, we use the operator that reduces a linear matrix equation to a linear algebraic equation with a rectangular matrix.},
doi = {10.1007/S10958-018-3792-2},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 230,
place = {United States},
year = {2018},
month = {5}
}