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M.S. Sgibnev, On a discrete Wiener-Hopf equation, Eur. J. Math. Appl. 4 (2024), Article ID 7.

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Volume 4 (2024), Article ID 7

https://doi.org/10.28919/ejma.2024.4.7

Published: 25/03/2024

Abstract:

We prove the existence of a solution to the discrete inhomogeneous Wiener-Hopf equation whose kernel is an arithmetic probability distribution which generates a random walk drifting to $-\infty$. We establish some asymptotic properties of the solution, depending on the corresponding properties of both the inhomogeneous term of the equation and its kernel.

How to Cite:

M.S. Sgibnev, On a discrete Wiener-Hopf equation, Eur. J. Math. Appl. 4 (2024), Article ID 7. https://doi.org/10.28919/ejma.2024.4.7