Matrix Differential-Algebraic Boundary-Value Problem with Pulsed Action
- Authors: Chuiko S.M.1, Dzyuba M.V.1
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Affiliations:
- Donbass State Pedagogic University
- Issue: Vol 238, No 3 (2019)
- Pages: 333-343
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242526
- DOI: https://doi.org/10.1007/s10958-019-04239-4
- ID: 242526
Cite item
Abstract
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.
About the authors
S. M. Chuiko
Donbass State Pedagogic University
Author for correspondence.
Email: chujko-slav@inbox.ru
Ukraine, General Batyuk Str., 19, Slavyansk, Donetsk region, 84116
M. V. Dzyuba
Donbass State Pedagogic University
Email: chujko-slav@inbox.ru
Ukraine, General Batyuk Str., 19, Slavyansk, Donetsk region, 84116