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

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 3, Pages 69–85 (Mi ivm7247)

This article is cited in 13 papers

Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equations

I. T. Nazipov

Chair of Mathematics, Information Science and its Teaching Principles, Tatar State Humanitarian Pedagogical University, Kazan, Russia

Abstract: We consider a singular differential equation of mixed type in a bounded spatial domain of special form. We prove the existence and uniqueness of the solution to the Tricomi problem.

Keywords: method of integral equations, singular equation, Cauchy problem, Tricomi problem.

UDC: 517.95

Received: 03.07.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:3, 61–76

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© Steklov Math. Inst. of RAS, 2026