The renewal equation with unbounded inhomogeneous term

Authors

  • Mikhail Sgibnev Sobolev Institute of Mathematics SO RAN

Keywords:

renewal equation, %nonarithmetic probability distribution, positive mean, unbounded inhomogeneous term, submultiplicative function, asymptotic behavior.

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. 

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Published

2022-01-21

Issue

Vol. 19 No. 1 (2022): Volume 19, N 1

Section

Real, complex and functional analysis

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