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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 6, Pages 67–78
DOI: https://doi.org/10.26907/0021-3446-2022-6-67-78 (Mi ivm9785) 		 
Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix

S. M. Chujko

Donbass State Pedagogical University, 19 G. Batyuka str., Slavyansk, 84116 Ukraine
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DOI: https://doi.org/10.26907/0021-3446-2022-6-67-78
Abstract: We construct conditions for the existence of solution of linear boundary value problem for system of differential-algebraic equations with variable rank of leading coefficient matrix. Cauchy problem for the linear differential-algebraic equation with constant delay is considered. Sufficient conditions for solvability and also a construction of generalized Green's operator for the linear boundary value problem for system of differential-algebraic equations with variable rank of leading coefficient matrix are obtained.
Keywords: green operator, boundary-value problem, differential-algebraic equation with constant delay.
Received: 20.08.2021
Revised: 16.12.2021
Accepted: 23.12.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 6, Pages 54–64
DOI: https://doi.org/10.3103/S1066369X22060020
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. M. Chujko, “Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 6, 67–78; Russian Math. (Iz. VUZ), 66:6 (2022), 54–64
Citation in format AMSBIB
\Bibitem{Chu22}
\by S.~M.~Chujko
\paper Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 6
\pages 67--78
\mathnet{http://mi.mathnet.ru/ivm9785}
\crossref{https://doi.org/10.26907/0021-3446-2022-6-67-78}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 6
\pages 54--64
\crossref{https://doi.org/10.3103/S1066369X22060020}
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