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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 4, Pages 90–98 (Mi uzku1244)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability conditions in quadratures of two Volterra equations

I. M. Shakirova

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
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Abstract: In terms of the coefficients of Volterra integral equations, sufficient conditions for their explicit solvability are derived. The conditions are obtained by the reduction of the initial equations to various versions of the Goursat problem for equations of second order. This makes it possible to use the known solutions to the Goursat problems in quadratures.
Keywords: Volterra equation, Goursat problem, Riemann function, solution in quadratures.
Received: 05.09.2013
Document Type: Article
UDC: 517.968.2
Language: Russian
Citation: I. M. Shakirova, “Solvability conditions in quadratures of two Volterra equations”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 4, Kazan University, Kazan, 2013, 90–98
Citation in format AMSBIB
\Bibitem{Sha13}
\by I.~M.~Shakirova
\paper Solvability conditions in quadratures of two Volterra equations
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 4
\pages 90--98
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1244}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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