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Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 8, Pages 74–83 (Mi ivm9145)  
This article is cited in 3 scientific papers (total in 3 papers)

Generalized Green operator of Noetherian boundary-value problem for matrix differential equation

S. M. Chuiko

Donbass State Pedagogical University, 19 Generala Batyuka str., Slavyansk, Donetsk oblast, 84116 Ukraine

Abstract: We find necessary and sufficient conditions for solvability and the construction of the generalized Green operator for linear boundary-value problem for Noetherian linear matrix differential equation. We propose an operator, which leads linear matrix algebraic equation to the traditional linear algebraic system with a rectangular matrix. We use pseudoinverse Moore–Penrose matrices and orthogonal projections for solving linear algebraic system.

Keywords: Green operator, Noetherian boundary value problem, matrix differential equation.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:8, 64–73

Bibliographic databases:

UDC: 517.983
Received: 04.01.2015

Citation: S. M. Chuiko, “Generalized Green operator of Noetherian boundary-value problem for matrix differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8, 74–83; Russian Math. (Iz. VUZ), 60:8 (2016), 64–73

Citation in format AMSBIB
\Bibitem{Chu16}
\by S.~M.~Chuiko
\paper Generalized Green operator of Noetherian boundary-value problem for matrix differential equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 8
\pages 74--83
\mathnet{http://mi.mathnet.ru/ivm9145}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2016
\vol 60
\issue 8
\pages 64--73
\crossref{https://doi.org/10.3103/S1066369X16080089}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000409303600008}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976439449}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. M. Chuiko, “O reshenii bilineinogo matrichnogo uravneniya”, Chebyshevskii sb., 17:2 (2016), 196–205  mathnet  elib
    2. S. Chuiko, “Nonlinear matrix differential-algebraic boundary value problem”, Lobachevskii J. Math., 38:2, SI (2017), 236–244  crossref  isi
    3. A. Samoilenko, A. Boichuk, S. Chuiko, “Hybrid difference-differential boundary-value problem”, Miskolc Math. Notes, 18:2 (2017), 1015–1031  crossref  mathscinet  zmath  isi  scopus
    		• Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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