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Mathematics of the USSR-Sbornik, 1976, Volume 29, Issue 3, Pages 411–429
DOI: https://doi.org/10.1070/SM1976v029n03ABEH003677 (Mi sm2882) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic behavior of the solution of a singular integral equation with a small parameter

V. Yu. Novokshenov
English version PDF (1064 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1976v029n03ABEH003677
Abstract: We construct an asymptotic expansion as $h\to0$ that is uniform in $x\geqslant0$ of the solution of the singular integral equation
$$ \int^\infty_0\frac{\rho(t)}{x-t}\,dt+\int^\infty_0K(x-t,h)\rho(t)\,dt=f(x). $$

Bibliography: 3 titles.
Received: 02.02.1976
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 100(142), Number 3(7), Pages 455–475
Bibliographic databases:
UDC: 517.948
MSC: Primary 45E99, 45M05; Secondary 47G05
Language: English
Original paper language: Russian
Citation: V. Yu. Novokshenov, “Asymptotic behavior of the solution of a singular integral equation with a small parameter”, Math. USSR-Sb., 29:3 (1976), 411–429
Citation in format AMSBIB
\Bibitem{Nov76}
\by V.~Yu.~Novokshenov
\paper Asymptotic behavior of the solution of a~singular integral equation with a~small parameter
\jour Math. USSR-Sb.
\yr 1976
\vol 29
\issue 3
\pages 411--429
\mathnet{http://mi.mathnet.ru//eng/sm2882}
\crossref{https://doi.org/10.1070/SM1976v029n03ABEH003677}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=420187}
\zmath{https://zbmath.org/?q=an:0343.45002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976FB03100009}
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  • https://doi.org/10.1070/SM1976v029n03ABEH003677
  • https://www.mathnet.ru/eng/sm/v142/i3/p455
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:366
    Russian version PDF:112
    English version PDF:15
    References:66
     
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