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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2013 Number 10, Pages 43–54 (Mi ivm8836)

This article is cited in 10 papers

Characteristic problems with normal derivatives for hyperbolic systems

E. A. Sozontova

Chair of Mathematical Analysis, Algebra and Geometry, Elabuga Branch of Kazan (Volga Region) Federal University, 89 Kazanskaya str., Elabuga, 423603 Russia

Abstract: We consider characteristic problems with normal derivatives for a hyperbolic system with two independent variables. Using the Riemann method, we obtain solvability conditions for these problems accurate to several arbitrary constants.

Keywords: hyperbolic system, characteristic problem with normal derivatives, Riemann method.

UDC: 517.956

Received: 06.07.2012


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:10, 37–47

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© Steklov Math. Inst. of RAS, 2026