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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1288–1298
DOI: https://doi.org/10.33048/semi.2020.17.095 (Mi semr1289) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Real, complex and functional analysis

The Wiener–Hopf equation with probability kernel of oscillating type

M. S. Sgibnev

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.095
Abstract: We prove the existence of a solution to the inhomogeneous Wiener–Hopf equation whose kernel is a nonarithmetic probability distribution generating an oscillating random walk. Asymptotic properties of the solution are established depending on the properties of the inhomogeneous term of the equation.
Keywords: integral equation, inhomogeneous equation, Wiener-Hopf equation, asymptotic behavior, nonarithmetic distribution, oscillating type.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0005
The work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (Project No. 0314-2019-0005).
Received May 5, 2020, published September 8, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.968, 519.218.4
MSC: 45E10, 60K05
Language: English
Citation: M. S. Sgibnev, “The Wiener–Hopf equation with probability kernel of oscillating type”, Sib. Èlektron. Mat. Izv., 17 (2020), 1288–1298
Citation in format AMSBIB
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\by M.~S.~Sgibnev
\paper The Wiener–Hopf equation with probability kernel of oscillating type
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1288--1298
\mathnet{http://mi.mathnet.ru/semr1289}
\crossref{https://doi.org/10.33048/semi.2020.17.095}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000567362600001}
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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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