Geodesic
On conditions of solvability of the Goursat problem in quadratures
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 68-73

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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.
Mots-clés : Goursat problem, solution in quadratures, Volterra equations.
Keywords: Riemann function, cascade method 
@article{IVM_2013_3_a7,
     author = {V. I. Zhegalov and I. M. Sarvarova},
     title = {On conditions of solvability of the {Goursat} problem in quadratures},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--73},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_3_a7/}
}
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V. I. Zhegalov; I. M. Sarvarova. On conditions of solvability of the Goursat problem in quadratures. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 68-73. http://geodesic.mathdoc.fr/item/IVM_2013_3_a7/