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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 4, Pages 86–97 (Mi ivm9351)  
This article is cited in 3 scientific papers (total in 3 papers)

On solvability of linear matrix boundary-value problem

S. M. Chuiko

Donbass State Pedagogical University, 19 Generala Batyuka str., Slavyansk, 84116 Ukraine
Full-text PDF (213 kB) Citations (3)
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Abstract: We find conditions of solvability and a construction of generalized Green's operator of linear matrix boundary-value problem; at that, we propose an operator which reduces a linear matrix equation to traditional linear Noetherian boundary-value problem. To solve a linear matrix system we use an operator which reduces a linear matrix equation to a linear algebraic equation with rectangular matrix.
Keywords: Green operator, Noetherian boundary-value problem, matrix differential equation.
Received: 15.01.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 4, Pages 74–85
DOI: https://doi.org/10.3103/S1066369X18040084
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: S. M. Chuiko, “On solvability of linear matrix boundary-value problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 4, 86–97; Russian Math. (Iz. VUZ), 62:4 (2018), 74–85
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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