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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 81–90
DOI: https://doi.org/10.33048/semi.2022.19.007 (Mi semr1482) 		 
Real, complex and functional analysis

The renewal equation with unbounded inhomogeneous term

M. S. Sgibnev

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.007
Abstract: We consider the renewal equation whose kernel is a probability distribution with positive mean. The inhomogeneous term behaves like a submultiplicative function tending to infinity. Asymptotic properties of the solution are established depending on the asymptotics of the submultiplicative function.
Keywords: renewal equation, probability distribution, positive mean, unbounded inhomogeneous term, submultiplicative function, asymptotic behavior.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0005
The work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (Project No. 0314-2019-0005).
Received November 23, 2021, published January 21, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.968, 519.218.4
MSC: 45E10, 60K05
Language: English
Citation: M. S. Sgibnev, “The renewal equation with unbounded inhomogeneous term”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 81–90
Citation in format AMSBIB
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\paper The renewal equation with unbounded inhomogeneous term
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\vol 19
\issue 1
\pages 81--90
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