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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 11, Pages 20–29 (Mi ivm9297)  

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
Full-text PDF (204 kB) Citations (1)
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 11, Pages 16–25
DOI: https://doi.org/10.3103/S1066369X17110032
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
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
Citation in format AMSBIB
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\by A.~N.~Zarubin
\paper Tricomi problem for nonlinear equation of mixed type with functional retarding, advancing and concentrated deviation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 11
\pages 20--29
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 11
\pages 16--25
\crossref{https://doi.org/10.3103/S1066369X17110032}
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  • https://www.mathnet.ru/eng/ivm/y2017/i11/p20
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:191
    Full-text PDF :40
    References:35
    First page:5
     
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