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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 11, Pages 20–29
(Mi ivm9297)
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This article is cited in 1 scientific paper (total 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.
Received: 01.07.2016
Citation:
A. N. Zarubin, “Tricomi problem for nonlinear equation of mixed type with functional retarding, advancing and concentrated deviation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 11, 20–29; Russian Math. (Iz. VUZ), 61:11 (2017), 16–25
Linking options:
https://www.mathnet.ru/eng/ivm9297 https://www.mathnet.ru/eng/ivm/y2017/i11/p20
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Abstract page: | 191 | Full-text PDF : | 40 | References: | 35 | First page: | 5 |
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