Email this article The Discrete Wiener-Hopf Equation with Probability Kernel of Oscillating Type
- Authors: Sgibnev M.S.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 3 (2019)
- Pages: 516-525
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172448
- DOI: https://doi.org/10.1134/S0037446619030145
- ID: 172448
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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.
About the authors
M. S. Sgibnev
Sobolev Institute of Mathematics
Author for correspondence.
Email: sgibnev@math.nsc.ru
Russian Federation, Novosibirsk
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