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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 5, Pages 824–839
DOI: https://doi.org/10.7868/S0044466916050069 (Mi zvmmf10396) 		 
This article is cited in 3 scientific papers (total in 3 papers)

To the theory of Volterra integral equations of the first kind with discontinuous kernels

A. S. Apartsin

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (309 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466916050069
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.
Key words: developing system, age structure, Volterra linear integral equation of the first kind, piecewise-smooth kernel, quadrature method.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01425_а
Received: 21.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 5, Pages 810–825
DOI: https://doi.org/10.1134/S0965542516050067
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: A. S. Apartsin, “To the theory of Volterra integral equations of the first kind with discontinuous kernels”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 824–839; Comput. Math. Math. Phys., 56:5 (2016), 810–825
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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