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Lobachevskii Journal of Mathematics, 2005, том 20, страницы 47–57
(Mi ljm54)
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Generalized solutions of Volterra integral equations of the first kind
M. V. Falaleeva, N. A. Sidorova, D. N. Sidorovb a Institute of Mathematics, Economics and Informatics of Irkutsk State University
b L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Аннотация:
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.
Ключевые слова:
Volterra integral equations, Dirac function, resolvent, singular component.
Образец цитирования:
M. V. Falaleev, N. A. Sidorov, D. N. Sidorov, “Generalized solutions of Volterra integral equations of the first kind”, Lobachevskii J. Math., 20 (2005), 47–57
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ljm54 https://www.mathnet.ru/rus/ljm/v20/p47
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