Abstract:
In this work we prove the unique solvability of a Bitsadze–Samarskii problem for a degenerate parabolic-hyperbolic equation of second kind, when on the first and second part of characteristics Bitsadze–Samarskii condition is imposed.
Keywords:
degenerate parabolic-hyperbolic equation, equation of second kind, non-local problems, Bitsadze–Samarskii condition, unique solvability, maximum principle, Fredholm integral equation.
Citation:
N. B. Islamov, “Analogue of Bitsadze–Samarskii problem for a class of parabolic-hyperbolic equation of second kind”, Ufa Math. J., 7:1 (2015), 31–45
\Bibitem{Isl15}
\by N.~B.~Islamov
\paper Analogue of Bitsadze--Samarskii problem for a~class of parabolic-hyperbolic equation of second kind
\jour Ufa Math. J.
\yr 2015
\vol 7
\issue 1
\pages 31--45
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Linking options:
https://www.mathnet.ru/eng/ufa270
https://doi.org/10.13108/2015-7-1-31
https://www.mathnet.ru/eng/ufa/v7/i1/p31
This publication is cited in the following 7 articles:
B. I. Islomov, D. A. Nasirova, “A problem with gellerstedt conditions on different characteristics for a mixed loaded equation of the second kind”, Eurasian Math. J., 15:1 (2024), 34–48
R. T. Zunnunov, “A Problem with Shift for Mixed-Type Equation in Domain, the Elliptical Part of Which Is a Horizontal Strip”, Lobachevskii J Math, 44:10 (2023), 4410
B. I. Islomov, D. A. Nasirova, “Local Boundary Value Problems for a Degenerate Loaded Equation of Parabolic-Hyperbolic Type of the Second Kind”, Lobachevskii J Math, 44:12 (2023), 5266
Mirsaburov M., Islomov N.B., “Problem With a Bitsadze-Samarskii Condition on Parallel Characteristics For a Mixed Type Equation of the Second Kind”, Differ. Equ., 57:10 (2021), 1358–1371
Zh. A. Balkizov, “On a boundary value problem for a third-order parabolic-hyperbolic type equation
with a displacement boundary condition in its hyperbolicity domain”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:2 (2020), 211–225
H. Al-Shamsi, B. J. Kadirkulov, S. Kerbal, “The bitsadze-samarskii type problem for mixed type equation in the domain with the deviation from the characteristics”, Lobachevskii J. Math., 41:6, SI (2020), 1021–1030
K. U. Khubiev, “Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients”, Ufa Math. J., 9:2 (2017), 92–101
Citation in format AMSBIB
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