Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 160, Pages 3–8 (Mi into418)  
This article is cited in 2 scientific papers (total in 2 papers)

Linear conjugation problem with a triangular matrix coefficient

G. N. Aver'yanova, A. P. Soldatovbc

a National Research University "Belgorod State University"
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
Full-text PDF (192 kB) Citations (2)
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Abstract: We consider a classical linear conjugation problem for analytic vector-valued functions on a piecewise smooth curve with a triangular matrix coefficient in weighted Hölder spaces. For the two-dimensional case, conditions for the existence of a solution are found, a solution of this problem is given, and the construction of the canonical matrix function is analyzed in detail.
Keywords: linear conjugation problem, weighted space, canonical function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.7311.2017/Á×
Ministry of Education and Science of the Republic of Kazakhstan 3492.GF4
This work was partially supported by the Ministry of Education and Science of the Russian Federation (project No. 1.7311.2017/BCh) and the Ministry of Education and Science of the Republic of Kazakhstan (international project No. 3492.GF4).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 257, Issue 1, Pages 1–7
DOI: https://doi.org/10.1007/s10958-021-05463-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 45E05, 35F15
Language: Russian
Citation: G. N. Aver'yanov, A. P. Soldatov, “Linear conjugation problem with a triangular matrix coefficient”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160, VINITI, Moscow, 2019, 3–8; J. Math. Sci. (N. Y.), 257:1 (2021), 1–7
Citation in format AMSBIB
\Bibitem{AveSol19}
\by G.~N.~Aver'yanov, A.~P.~Soldatov
\paper Linear conjugation problem with a triangular matrix coefficient
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17,
St. Petersburg Polytechnic University, July 24-28, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 160
\pages 3--8
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3981824}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 257
\issue 1
\pages 1--7
\crossref{https://doi.org/10.1007/s10958-021-05463-7}
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    • This publication is cited in the following 2 articles:
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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