Geodesic
Generalized solutions of Volterra integral equations of the first kind
Lobachevskii journal of mathematics, Tome 20 (2005), pp. 47-57

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In this paper we derived the explicit structure of generalized solutions of the Volterra integral equations of the first kind. The solution contains singular and regular components. These components can be constructed separately. On the first stage we construct the singular component of the solution by solving the special linear algebraic system. On the second stage the regular component of generalized solution can be constructed.
Keywords: Volterra integral equations, Dirac function, resolvent, singular component. 
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     title = {Generalized solutions of {Volterra} integral equations of the first kind},
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M. V. Falaleev; N. A. Sidorov; D. N. Sidorov. Generalized solutions of Volterra integral equations of the first kind. Lobachevskii journal of mathematics, Tome 20 (2005), pp. 47-57. http://geodesic.mathdoc.fr/item/LJM_2005_20_a3/