The abstract renewal equation

The abstract Perron-Stieltjes integral defined in the Kurzweil-Henstock sense is used for introducing Stieltjes convolutions. The approach is used for obtaining basic existence result for the abstract renewal equation which was studied e. g. by Diekmann, Gyllenberg and Thieme.

Bibliographic Details
Main Author: S. Schwabik
Format: Article
Language:English
Published: University of Szeged 2000-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=52