Abstract:
The paper addresses the test integral Volterra equations of the first kind in integral models of developing systems. Earlier, models consisted of two and three age groups of elements. Here the authors generalized the results to the case of an arbitrary number of groups. Along with the theoretical results, numerical calculations are given for the test example. Calculations illustrate the validity of theoretical estimates.
Keywords:
developing system, age groups, test Volterra equations of the first kind, numerical solution, instability.
The work was carried out within the framework of the scientific project III.17.3.2 of the program of fundamental research of the SB RAS, reg. No. AAAA-A17-117030310446-6 and is partially supported by the Russian Fund for Basic Research (project № 15-01-01425).
Received: 19.03.2018
Bibliographic databases:
Document Type:
Article
UDC:519.642.5
Language: Russian
Citation:
A. S. Apartsyn, I. V. Sidler, “The test Volterra equation of the first kind in integral models of developing systems containing $n$ age groups”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 168–179
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\by A.~S.~Apartsyn, I.~V.~Sidler
\paper The test Volterra equation of the first kind in integral models of developing systems containing $n$ age groups
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 168--179
\mathnet{http://mi.mathnet.ru/vtamu67}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-168-179}
\elib{https://elibrary.ru/item.asp?id=35213524}
Linking options:
https://www.mathnet.ru/eng/vtamu67
https://www.mathnet.ru/eng/vtamu/v23/i122/p168
This publication is cited in the following 4 articles:
S. V. Solodusha, “Anatolii Solomonovich Apartsin. Nauchnoe nasledie”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 50 (2024), 170–179
Evgeniia Markova, Inna Sidler, Communications in Computer and Information Science, 1476, Mathematical Optimization Theory and Operations Research: Recent Trends, 2021, 478
Evgeniia Markova, Inna Sidler, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 524
A. S. Apartsyn, E. V. Markova, I. V. Sidler, “Integral model of developing system without prehistory”, Russian Universities Reports. Mathematics, 23:123 (2018), 361–367
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