On the Solvability of a Matrix Boundary-Value Problem

Journal Article · Tue May 15 04:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3792-2· OSTI ID:22771265

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.

• OSTI ID: 22771265
• Journal Information: Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 5 Vol. 230; ISSN JMTSEW; ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
GREEN FUNCTION
MATHEMATICAL OPERATORS
MATRICES