Asymptotics of the solution to Volterra equation of the first kind Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2026, Pages: 1-8 Pages count : 8 DOI: 10.1007/s10958-026-08504-1 | ||
| Tags | Volterra equation, Renewal theory, Regularly varying function, Asymptotic behavior, Rate of convergence | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
Under certain assumptions, the Volterra equation of the first kind can be reduced to that of the second kind. If the kernel of the equation depends on the difference of arguments, we can apply the probabilistic renewal theory for densities to the reduced equation. Weak moment conditions on the kernel are assumed.
Cite:
Sgibnev M.S.
Asymptotics of the solution to Volterra equation of the first kind
Journal of Mathematical Sciences (United States). 2026. P.1-8. DOI: 10.1007/s10958-026-08504-1 OpenAlex
Asymptotics of the solution to Volterra equation of the first kind
Journal of Mathematical Sciences (United States). 2026. P.1-8. DOI: 10.1007/s10958-026-08504-1 OpenAlex
Dates:
| Submitted: | Jun 27, 2025 |
| Accepted: | May 31, 2026 |
| Published online: | Jul 1, 2026 |
Identifiers:
| ≡ OpenAlex: | W7166878971 |