Asymptotics of a renewal-like recursion and an integral equation
Classical Analysis and ODEs
2012-05-22 v4 Probability
Abstract
We consider a renewal-like recursion and prove that the solution is polynomially decaying asymptotically under suitable conditions. We prove similar results for the corresponding integral equation. In both cases coefficients and functions are of more general form than in the classic cases.
Cite
@article{arxiv.1104.1027,
title = {Asymptotics of a renewal-like recursion and an integral equation},
author = {Ágnes Backhausz and Tamás F. Móri},
journal= {arXiv preprint arXiv:1104.1027},
year = {2012}
}