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 |
|
||
Affiliations |
|
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
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 |