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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2018 Issue 4, Pages 31–45 (Mi at14473)

This article is cited 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

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.

Presented by the member of Editorial Board: A. A. Bobtsov

Received: 07.06.2016


 English version:
Automation and Remote Control, 2018, 79:4, 604–616

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