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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 8, Pages 74–83 (Mi ivm9145)  
This article is cited in 12 scientific papers (total in 12 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
Full-text PDF (200 kB) Citations (12)
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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.
Received: 04.01.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 8, Pages 64–73
DOI: https://doi.org/10.3103/S1066369X16080089
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
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
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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