This article is cited 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

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.

UDC: 519.642

Received: 21.07.2015

DOI: 10.7868/S0044466916050069

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:5, 810–825

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