The abstract renewal equation

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
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spelling doaj-8ed103a5261d45eaa6ea9d4cb7579ce92021-07-14T07:21:17ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752000-01-0119992611210.14232/ejqtde.1999.5.2652The abstract renewal equationS. Schwabik0Math. Inst. Acad. Sci. Czech Republic, PRAHA 1, 115 67, Czech RepublicThe 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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=52
collection DOAJ
language English
format Article
sources DOAJ
author S. Schwabik
spellingShingle S. Schwabik
The abstract renewal equation
Electronic Journal of Qualitative Theory of Differential Equations
author_facet S. Schwabik
author_sort S. Schwabik
title The abstract renewal equation
title_short The abstract renewal equation
title_full The abstract renewal equation
title_fullStr The abstract renewal equation
title_full_unstemmed The abstract renewal equation
title_sort abstract renewal equation
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2000-01-01
description 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.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=52
work_keys_str_mv AT sschwabik theabstractrenewalequation
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