Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (363 kB) Citations (3)
References:
PDF
HTML
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
\Bibitem{Sgi20}
\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}
Linking options:
  • https://www.mathnet.ru/eng/semr1289
  • https://www.mathnet.ru/eng/semr/v17/p1288
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024