Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2016, Volume 8, Issue 1, Pages 13–18
DOI: https://doi.org/10.14529/mmph160102 (Mi vyurm283) 		 
Mathematics

About the unsolvability of Schwarz's task for some types of matrices

V. G. Nikolaev

Federal State-Funded Educational Institution of Higher Vocational Education “Yaroslav-the-Wise Novgorod State University”, Novgorod, Russia
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DOI: https://doi.org/10.14529/mmph160102
Abstract: The task of Schwarz is considered for 2-vector functions, being analytic in a circle by Douglis. It is proved that for some types of matrices and boundary analytic functions the task has no solutions. The example is given.
Keywords: holomorphic function; analytic continuability; matrix; eigenvector; region; Lyapunov contour.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.857.2014/К
Received: 20.11.2015
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. G. Nikolaev, “About the unsolvability of Schwarz's task for some types of matrices”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:1 (2016), 13–18
Citation in format AMSBIB
\Bibitem{Nik16}
\by V.~G.~Nikolaev
\paper About the unsolvability of Schwarz's task for some types of matrices
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2016
\vol 8
\issue 1
\pages 13--18
\mathnet{http://mi.mathnet.ru/vyurm283}
\crossref{https://doi.org/10.14529/mmph160102}
\elib{https://elibrary.ru/item.asp?id=25277854}
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