Matrix Differential-Algebraic Boundary-Value Problem with Pulsed Action

We establish necessary and sufficient conditions for the existence of solutions of a linear matrix boundaryvalue problem for a system of matrix differential-algebraic equations with pulsed action. We also construct a generalized Green operator of linear boundary conditions for a system of matrix dif...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-04, Vol.238 (3), p.333-343
Main Authors: Chuiko, S. M., Dzyuba, M. V.
Format: Article
Language:English
Subjects:
Algebra
Boundary conditions
Boundary value problems
Differential equations
Equality
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrix methods
Operators (mathematics)
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Summary:We establish necessary and sufficient conditions for the existence of solutions of a linear matrix boundaryvalue problem for a system of matrix differential-algebraic equations with pulsed action. We also construct a generalized Green operator of linear boundary conditions for a system of matrix differentialalgebraic equations with pulse action. To solve the matrix differential-algebraic boundary problem with pulsed action, we use the original conditions of solvability and the structure of the general solution of the linear matrix equation.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04239-4