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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2013 Number 3, Pages 68–73 (Mi ivm8785)
This article is cited 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

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.

UDC: 517.956

Presented by the member of Editorial Board: V. V. Vasin
Received: 26.06.2012


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:3, 56–59

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