Tricomi problem for mixed parabolic-hyperbolic equation with dynamic-type boundary condition
Derbissaly B.
2024Taylor and Francis Ltd.
Quaestiones Mathematicae
2024#47Issue 81545 - 1557 pp.
In this paper, we study an analogue of Tricomi problem for a parabolichyperbolic equation of the first type. To solve the problem for the heat equation, we use properties of the spectral problem with a spectral parameter in the boundary conditions. We show the basicity of the spectral problem with the spectral parameter in the boundary conditions. The conditions for the correctness of the formulated Tricomi problem are found.
dynamic-type boundary condition , Parabolic-hyperbolic type equation , problem with spectral parameter in boundary condition , Riesz basis , Tricomi problem
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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