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

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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.

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Authors and Affiliations

  1. Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 130, Irkutsk, 664033, Russia

    A. S. Apartsin

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  1. A. S. Apartsin
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Original Russian Text © A.S. Apartsin, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 5, pp. 824–839.

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Apartsin, A.S. To the theory of volterra integral equations of the first kind with discontinuous kernels. Comput. Math. and Math. Phys. 56, 810–825 (2016). https://doi.org/10.1134/S0965542516050067

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  • DOI: https://doi.org/10.1134/S0965542516050067

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