The renewal equation in nonlinear approximation

The family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.

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Main Authors: O.A. Yarova, Ya.I. Yeleyko
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2021-10-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/191
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author O.A. Yarova
Ya.I. Yeleyko
author_facet O.A. Yarova
Ya.I. Yeleyko
author_sort O.A. Yarova
collection DOAJ
description The family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.
format Article
id doaj-art-38980c2bfeb04e699a5ed8f7753c35cc
institution Kabale University
issn 1027-4634
2411-0620
language deu
publishDate 2021-10-01
publisher Ivan Franko National University of Lviv
record_format Article
series Математичні Студії
spelling doaj-art-38980c2bfeb04e699a5ed8f7753c35cc2025-08-20T03:33:15ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202021-10-0156110310610.30970/ms.56.1.103-106191The renewal equation in nonlinear approximationO.A. Yarova0Ya.I. Yeleyko1Ivan Franko National University of Lviv Lviv, UkraineIvan Franko National University of Lviv Lviv, UkraineThe family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.http://matstud.org.ua/ojs/index.php/matstud/article/view/191markov process; renewal equation; nonlinear approximation; process with independent increments; multidimensional renewal equation
spellingShingle O.A. Yarova
Ya.I. Yeleyko
The renewal equation in nonlinear approximation
Математичні Студії
markov process; renewal equation; nonlinear approximation; process with independent increments; multidimensional renewal equation
title The renewal equation in nonlinear approximation
title_full The renewal equation in nonlinear approximation
title_fullStr The renewal equation in nonlinear approximation
title_full_unstemmed The renewal equation in nonlinear approximation
title_short The renewal equation in nonlinear approximation
title_sort renewal equation in nonlinear approximation
topic markov process; renewal equation; nonlinear approximation; process with independent increments; multidimensional renewal equation
url http://matstud.org.ua/ojs/index.php/matstud/article/view/191
work_keys_str_mv AT oayarova therenewalequationinnonlinearapproximation
AT yaiyeleyko therenewalequationinnonlinearapproximation
AT oayarova renewalequationinnonlinearapproximation
AT yaiyeleyko renewalequationinnonlinearapproximation