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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 4, Pages 942–951
DOI: https://doi.org/10.17377/smzh.2015.56.417 (Mi smj2689) 		 
This article is cited in 28 scientific papers (total in 28 papers)

The Green's operator of a generalized matrix differential-algebraic boundary value problem

S. M. Chuiko

Donbass State Pedagogical University, Slavyansk, Ukraine
Full-text PDF (287 kB) Citations (28)
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DOI: https://doi.org/10.17377/smzh.2015.56.417
Abstract: We set forth solvability conditions and construction of the generalized Green's operator for a Noetherian matrix linear differential-algebraic boundary value problem. Sufficient conditions of reducibility of a generalized matrix differential-algebraic operator to a conventional differential-algebraic equation with an unknown column vector are established. To solve a matrix differential-algebraic boundary value problem, we employ a special solvability conditions and the construction of a general solution to a matrix Sylvester-type equation.
Keywords: matrix boundary value problem, differential-algebraic equation, generalized Green's operator, Sylvester equation.
Received: 20.11.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 4, Pages 752–760
DOI: https://doi.org/10.1134/S0037446615040175
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. M. Chuiko, “The Green's operator of a generalized matrix differential-algebraic boundary value problem”, Sibirsk. Mat. Zh., 56:4 (2015), 942–951; Siberian Math. J., 56:4 (2015), 752–760
Citation in format AMSBIB
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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