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The Discrete Wiener-Hopf Equation with Probability Kernel of Oscillating Type Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2019, Volume: 60, Number: 3, Pages: 516-525 Pages count : 10 DOI: 10.1134/S0037446619030145
Tags arithmetic distribution; asymptotic behavior; discrete Wiener-Hopf equation; inhomogeneous equation; oscillating type
Authors Sgibnev M.S. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

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. © 2019, Pleiades Publishing, Inc.
Cite: Sgibnev M.S.
The Discrete Wiener-Hopf Equation with Probability Kernel of Oscillating Type
Siberian Mathematical Journal. 2019. V.60. N3. P.516-525. DOI: 10.1134/S0037446619030145 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000471617300014
Scopus: 2-s2.0-85067406006
OpenAlex: W2950296295
Citing:
DB Citing
Scopus 4
OpenAlex 1
Web of science 4
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