Tambov University Reports. Series: Natural and Technical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Russian Universities Reports. Mathematics:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 168–179
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-168-179 (Mi vtamu67) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The test Volterra equation of the first kind in integral models of developing systems containing $n$ age groups

A. S. Apartsyn, I. V. Sidler

Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences
Full-text PDF (202 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-168-179
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.
Funding agency Grant number
Ural Branch of the Russian Academy of Sciences АААА-А17-117030310446-6
Russian Foundation for Basic Research 15-01-01425
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
Citation in format AMSBIB
\Bibitem{ApaSid18}
\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 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Russian Universities Reports. Mathematics
    Statistics & downloads:
    Abstract page:120
    Full-text PDF :40
    References:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024