This article is cited 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

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.

UDC: 519.642.5

Received: 19.03.2018

DOI: 10.20310/1810-0198-2018-23-122-168-179

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