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

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

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.

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

≡ Web of science:	WOS:000471617300014
≡ Scopus:	2-s2.0-85067406006
≡ OpenAlex:	W2950296295