Geodesic
The renewal equation with unbounded inhomogeneous term
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 81-90

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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. 
M. S. Sgibnev. The renewal equation with unbounded inhomogeneous term. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 81-90. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a27/
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