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Matematicheskie Trudy, 2019, Volume 22, Number 2, Pages 21–33
DOI: https://doi.org/10.33048/mattrudy.2019.22.202 (Mi mt355) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On $\mathbb R$-linear problem and truncated Wiener–Hopf equation

A. F. Voronin

Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
Full-text PDF (192 kB) Citations (7)
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DOI: https://doi.org/10.33048/mattrudy.2019.22.202
Abstract: We consider the $\mathbb R$-linear problem (also known as the Markushevich problem and the generalized Riemann boundary value problem) and the convolution integral equation of the second kind on a finite interval (also known as the truncated Wiener–Hopf equation). We find new conditions for correct solvability of the $\mathbb R$-linear problem and the truncated Wiener–Hopf equation.
Key words: $\mathbb R$-linear problem, Markushevich problem, Riemann boundary value problem, generalized Riemann boundary value problem, partial indices, convolution, truncated Wiener–Hopf equation, existence of a solution, stability, uniqueness.
Received: 23.01.2019
Revised: 06.02.2019
Accepted: 27.02.2019
English version:
Siberian Advances in Mathematics, 2020, Volume 30, Issue 2, Pages 143–151
DOI: https://doi.org/10.3103/S1055134420020066
Bibliographic databases:
Document Type: Article
UDC: 517.544+517.968
Language: Russian
Citation: A. F. Voronin, “On $\mathbb R$-linear problem and truncated Wiener–Hopf equation”, Mat. Tr., 22:2 (2019), 21–33; Siberian Adv. Math., 30:2 (2020), 143–151
Citation in format AMSBIB
\Bibitem{Vor19}
\by A.~F.~Voronin
\paper On $\mathbb R$-linear problem and truncated Wiener--Hopf equation
\jour Mat. Tr.
\yr 2019
\vol 22
\issue 2
\pages 21--33
\mathnet{http://mi.mathnet.ru/mt355}
\crossref{https://doi.org/10.33048/mattrudy.2019.22.202}
\transl
\jour Siberian Adv. Math.
\yr 2020
\vol 30
\issue 2
\pages 143--151
\crossref{https://doi.org/10.3103/S1055134420020066}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85086236051}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :136
    References:35
    First page:4
     
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