Email this article To the theory of volterra integral equations of the first kind with discontinuous kernels
- Authors: Apartsin A.S.1
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Affiliations:
- Melentiev Energy Systems Institute, Siberian Branch
- Issue: Vol 56, No 5 (2016)
- Pages: 810-825
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178442
- DOI: https://doi.org/10.1134/S0965542516050067
- ID: 178442
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Abstract
A nonclassical Volterra linear integral equation of the first kind describing the dynamics of an developing system with allowance for its age structure is considered. The connection of this equation with the classical Volterra linear integral equation of the first kind with a piecewise-smooth kernel is studied. For solving such equations, the quadrature method is applied.
About the authors
A. S. Apartsin
Melentiev Energy Systems Institute, Siberian Branch
Author for correspondence.
Email: apartsyn@isem.irk.ru
Russian Federation, ul. Lermontova 130, Irkutsk, 664033
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