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Avtomatika i Telemekhanika, 2018, Issue 4, Pages 31–45 (Mi at14473)  
This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear Systems

On the test Volterra equations of the first kind in the integral models of developing systems

A. S. Apartsyn, I. V. Sidler

Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (853 kB) Citations (5)
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Abstract: The paper was devoted to analysis of the test Volterra equations of the first kind enabling one to study the specificity of important classes of integral equations in the mathematical models of developing system. Along with theoretical results, presented were numerical calculations for the model examples.
Keywords: developing system, two age groups, test Volterra equation of the first kind, numerical solution, instability, error in the initial data.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01425
Russian Academy of Sciences - Federal Agency for Scientific Organizations AAAA-A17-117030310446-6
This work was supported in part by the Russian Foundation for Basic Research, project no.15-01-01425, and within the framework of the fundamental research of the Siberian Branch of the Russian Academy of Sciences, project no. AAAA-A17-117030310446-6.
Presented by the member of Editorial Board: A. A. Bobtsov

Received: 07.06.2016
English version:
Automation and Remote Control, 2018, Volume 79, Issue 4, Pages 604–616
DOI: https://doi.org/10.1134/S0005117918040033
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Apartsyn, I. V. Sidler, “On the test Volterra equations of the first kind in the integral models of developing systems”, Avtomat. i Telemekh., 2018, no. 4, 31–45; Autom. Remote Control, 79:4 (2018), 604–616
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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