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Ufa Mathematical Journal, 2017, Volume 9, Issue 2, Pages 92–101
DOI: https://doi.org/10.13108/2017-9-2-92
(Mi ufa377)
 

This article is cited in 12 scientific papers (total in 12 papers)

Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients

K. U. Khubiev

Institute of Applied Mathematics and Automation, Nalchik
References:
Abstract: In the work we study an analogue of Tricomi problems for characteristically loaded hyperbolic-parabolic equations with variable coefficients. We prove the unique solvability of the studied problem. The uniqueness of the solutions is proved by means of the maximum principle, while the existence is established by the method of integral equations.
Keywords: loaded equations, mixed equations, hyperbolic-parabolic equations, Tricomi problem, boundary value problem.
Received: 07.07.2016
Russian version:
Ufimskii Matematicheskii Zhurnal, 2017, Volume 9, Issue 2, Pages 94–103
Bibliographic databases:
Document Type: Article
MSC: 35M12
Language: English
Original paper language: Russian
Citation: K. U. Khubiev, “Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients”, Ufimsk. Mat. Zh., 9:2 (2017), 94–103; Ufa Math. J., 9:2 (2017), 92–101
Citation in format AMSBIB
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\paper Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients
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\vol 9
\issue 2
\pages 94--103
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\jour Ufa Math. J.
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\pages 92--101
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Linking options:
  • https://www.mathnet.ru/eng/ufa377
  • https://doi.org/10.13108/2017-9-2-92
  • https://www.mathnet.ru/eng/ufa/v9/i2/p94
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
    Statistics & downloads:
    Abstract page:378
    Russian version PDF:155
    English version PDF:16
    References:58
     
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