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

Izv. Vyssh. Uchebn. Zaved. Mat., 2017 Number 11, Pages 20–29 (Mi ivm9297)

This article is cited in 1 paper

Tricomi problem for nonlinear equation of mixed type with functional retarding, advancing and concentrated deviation

A. N. Zarubin

Orel State University, 95 Komsomol’skaya str., Orel, 302026 Russia

Abstract: We investigate the problem for nonlinear mixed-type equation with the Lavrent'ev–Bitsadze operation in the main part and the functional delay and advancing in the lowest terms. We construct the general solution to the equation. The problem is uniquely solvable.

Keywords: mixed-type equation, Riemann's function, integral equations, formulas of mutual treatment, difference equation.

UDC: 517.956

Received: 01.07.2016


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:11, 16–25

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© Steklov Math. Inst. of RAS, 2026