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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}
Linking options:
  • https://www.mathnet.ru/eng/ivm8785
  • https://www.mathnet.ru/eng/ivm/y2013/i3/p68
    • This publication is cited in the following 8 articles:
    1. V. I. Zhegalov, L. B. Mironova, “The Goursat and Cauchy problems for three-dimensional Bianchi equation”, Russian Math. (Iz. VUZ), 64:6 (2020), 11–15  mathnet  mathnet  crossref  crossref  isi  scopus
    2. V. I. Zhegalov, “Ob odnoi zadache dlya obobschennogo uravneniya Bussineska–Lyava”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 23:4 (2019), 771–776  mathnet  crossref
    3. V. I. Zhegalov, E. A. Sozontova, “An addition to the cases of solvability of the Goursat problem in quadratures”, Differ. Equ., 53:2 (2017), 270–272  crossref  isi  elib  elib
    4. E. A. Sozontova, “On solvability by quadratures conditions for second order hyperbolic systems”, Ufa Math. J., 8:3 (2016), 130–135  mathnet  crossref  mathscinet  isi  elib
    5. I. M. Shakirova, “O variantakh razreshimosti v kvadraturakh odnogo uravneniya Volterra v trekhmernom prostranstve”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 158, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2016, 557–569  mathnet  elib
    6. Zhegalov V.I. Sozontova E.A., “Conditions For the Solvability of a System of Integral Equations By Quadratures”, Differ. Equ., 51:7 (2015), 955–958  crossref  mathscinet  zmath  isi  elib
    7. I. M. Shakirova, “K sluchayam razreshimosti odnogo integralnogo uravneniya v kvadraturakh”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(36) (2014), 57–65  mathnet  crossref  zmath  elib
    8. I. M. Shakirova, “Usloviya razreshimosti v kvadraturakh dvukh uravnenii tipa Volterra”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 155, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2013, 90–98  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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