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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 6, Pages 1401–1417
DOI: https://doi.org/10.17377/smzh.2017.58.618
(Mi smj2947)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the inhomogeneous conservative Wiener–Hopf equation

M. S. Sgibnev

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (354 kB) Citations (2)
References:
Abstract: We prove the existence of a solution to the inhomogeneous Wiener–Hopf equation whose kernel is a probability distribution generating a random walk drifting to $-\infty$. Asymptotic properties of a solution are found depending on the corresponding properties of the free term and the kernel of the equation.
Keywords: integral equation, inhomogeneous equation, inhomogeneous generalized Wiener–Hopf equation, probability distribution, drift to minus infinity, asymptotic behavior.
Received: 22.03.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 6, Pages 1090–1103
DOI: https://doi.org/10.1134/S0037446617060180
Bibliographic databases:
Document Type: Article
UDC: 517.968.2
MSC: 35R30
Language: Russian
Citation: M. S. Sgibnev, “On the inhomogeneous conservative Wiener–Hopf equation”, Sibirsk. Mat. Zh., 58:6 (2017), 1401–1417; Siberian Math. J., 58:6 (2017), 1090–1103
Citation in format AMSBIB
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\paper On the inhomogeneous conservative Wiener--Hopf equation
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  • https://www.mathnet.ru/eng/smj/v58/i6/p1401
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :63
    References:51
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