Abstract:
The paper addresses integral model of the developing system, in which the moment of its origin coincides with the beginning of the modeling, so there is no prehistory and for $t = 0$ all the age groups of the elements are empty.
Keywords:developing system, age groups, Volterra equation of the first kind, optimization problem.
The work was carried out within the framework of the program of fundamental research of the SB RAS, reg. No. AAAA-A17-117030310446-6.
Received: 20.03.2018
Bibliographic databases:
Document Type:
Article
UDC:519.642.5
Language: Russian
Citation:
A. S. Apartsyn, E. V. Markova, I. V. Sidler, “Integral model of developing system without prehistory”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 361–367
\Bibitem{ApaMarSid18}
\by A.~S.~Apartsyn, E.~V.~Markova, I.~V.~Sidler
\paper Integral model of developing system without prehistory
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 361--367
\mathnet{http://mi.mathnet.ru/vtamu34}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-361-367}
\elib{https://elibrary.ru/item.asp?id=36452682}
Linking options:
https://www.mathnet.ru/eng/vtamu34
https://www.mathnet.ru/eng/vtamu/v23/i123/p361
This publication is cited in the following 2 articles:
Aleksandr N. Tynda, Denis N. Sidorov, “Inverse Problem for the Integral Dynamic Models with Discontinuous Kernels”, Mathematics, 10:21 (2022), 3945
Evgeniia Markova, Inna Sidler, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 524