Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 139–143 (Mi into184)  
This article is cited in 2 scientific papers (total in 2 papers)

On the solvability of a matrix boundary-value problem

S. M. Chujko

Donbass State Pedagogical University
Full-text PDF (276 kB) Citations (2)
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.
Keywords: Green operator, Noether boundary-value problem, matrix differential equation.
Funding agency Grant number
State Fund for Fundamental Researches (Ukraine) 0115U003182
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 794–798
DOI: https://doi.org/10.1007/s10958-018-3792-2
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 34B15, 34B40, 34C11
Language: Russian
Citation: S. M. Chujko, “On the solvability of a matrix boundary-value problem”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 139–143; J. Math. Sci. (N. Y.), 230:5 (2018), 794–798
Citation in format AMSBIB
\Bibitem{Chu17}
\by S.~M.~Chujko
\paper On the solvability of a matrix boundary-value problem
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 139--143
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into184}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801404}
\zmath{https://zbmath.org/?q=an:1393.34036}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 794--798
\crossref{https://doi.org/10.1007/s10958-018-3792-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044380202}
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  • https://www.mathnet.ru/eng/into/v132/p139
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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    Full-text PDF :46
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