On a discrete Wiener–Hopf equation Full article
| Journal |
European Journal of Mathematics and Applications
ISSN: 2752-7603 |
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| Output data | Year: 2024, Volume: 4, Article number : 7, Pages count : 10 DOI: 10.28919/ejma.2024.4.7 | ||
| Tags | Discrete Wiener–Hopf equation; inhomogeneous equation; arithmetic distribution; drift to minus infinity; asymptotic behavior. | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
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 . We establish some asymptotic properties of the solution, depending on the corresponding properties of both the inhomogeneous term of the equation and its kernel.
Cite:
Sgibnev M.S.
On a discrete Wiener–Hopf equation
European Journal of Mathematics and Applications. 2024. V.4. 7 :1-10. DOI: 10.28919/ejma.2024.4.7 РИНЦ OpenAlex
On a discrete Wiener–Hopf equation
European Journal of Mathematics and Applications. 2024. V.4. 7 :1-10. DOI: 10.28919/ejma.2024.4.7 РИНЦ OpenAlex
Dates:
| Submitted: | Jan 16, 2024 |
| Published print: | Mar 25, 2024 |
| Published online: | Mar 25, 2024 |
Identifiers:
| Elibrary: | 66553310 |
| OpenAlex: | W4393150539 |
Citing:
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