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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 3, Pages 664–675
DOI: https://doi.org/10.33048/smzh.2019.60.314 (Mi smj3102) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The discrete Wiener–Hopf equation with probability kernel of oscillating type

M. S. Sgibnev

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (304 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2019.60.314
Abstract: We prove the existence of a solution to the discrete inhomogeneous Wiener–Hopf equation whose kernel is an arithmetic 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 and its kernel.
Keywords: discrete Wiener-Hopf equation, inhomogeneous equation, asymptotic behavior, arithmetic distribution, oscillating type.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 0314-2016-0005
The author was supported by the Program of Basic Scientific Research of the Siberian Branch of the Russian Academy of Sciences (Grant No. I.1.2, Project 0314-2016-0005).
Received: 23.08.2018
Revised: 04.12.2018
Accepted: 19.12.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 3, Pages 516–525
DOI: https://doi.org/10.1134/S0037446619030145
Bibliographic databases:
Document Type: Article
UDC: 517.968.2
Language: Russian
Citation: M. S. Sgibnev, “The discrete Wiener–Hopf equation with probability kernel of oscillating type”, Sibirsk. Mat. Zh., 60:3 (2019), 664–675; Siberian Math. J., 60:3 (2019), 516–525
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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