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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 3, Pages 68–73 (Mi ivm8785)  
This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

On conditions of solvability of the Goursat problem in quadratures

V. I. Zhegalov, I. M. Sarvarova

Chair of Differential Equations, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (156 kB) Citations (8)
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Abstract: We find new variants of Goursat problem solution in quadratures on the basis of the combination of the Riemann method and the cascade integration. The results are applied to two Volterra equations with particular integrals.
Keywords: Goursat problem, Riemann function, cascade method, solution in quadratures, Volterra equations.
Presented by the member of Editorial Board: V. V. Vasin
Received: 26.06.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 3, Pages 56–59
DOI: https://doi.org/10.3103/S1066369X13030080
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. I. Zhegalov, I. M. Sarvarova, “On conditions of solvability of the Goursat problem in quadratures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3, 68–73; Russian Math. (Iz. VUZ), 57:3 (2013), 56–59
Citation in format AMSBIB
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\by V.~I.~Zhegalov, I.~M.~Sarvarova
\paper On conditions of solvability of the Goursat problem in quadratures
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 3
\pages 68--73
\mathnet{http://mi.mathnet.ru/ivm8785}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 3
\pages 56--59
\crossref{https://doi.org/10.3103/S1066369X13030080}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876252754}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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