Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
Derbissaly B. Sadybekov M.
August 2023Springer
Bulletin of the Iranian Mathematical Society
2023#49Issue 4
In this paper, we study an analogue of Tricomi problem for a parabolic–hyperbolic equation. One boundary condition in the parabolic part of the domain contains the third derivative of the space variable. A spectral problem with a spectral parameter in the boundary condition arises, when solving this problem. The system of eigenfunctions of this problem (after removing any one eigenfunction) forms a Riesz basis. The conditions for the correctness of the formulated Tricomi problem are found.
Higher order derivatives in boundary condition , Parabolic–hyperbolic type equation , Problem with a spectral parameter in a boundary condition , Riesz basis , Tricomi problem
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Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, Pushkin, Almaty, 050010, Kazakhstan
Department of Mathematics, Al-Farabi Kazakh National University, al-Farabi, Almaty, 050040, Kazakhstan
Department of Differential Equations
Department of Mathematics
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