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This article is cited in 11 scientific papers (total in 11 papers)
Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients
K. U. Khubiev Institute of Applied Mathematics and Automation, Nalchik
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
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
Linking options:
https://www.mathnet.ru/eng/ufa377https://doi.org/10.13108/2017-9-2-92 https://www.mathnet.ru/eng/ufa/v9/i2/p94
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Abstract page: | 354 | Russian version PDF: | 150 | English version PDF: | 14 | References: | 49 |
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