Title of article :
Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
Author/Authors :
Derbissaly ، Bauyrzhan Department of Differential Equations - Faculty of Science - Institute of Mathematics and Mathematical Modeling , Sadybekov ، Makhmud Department of Differential Equations - Faculty of Science - Institute of Mathematics and Mathematical Modeling
Abstract :
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.
Keywords :
Parabolic–hyperbolic type equation , Tricomi problem , Higher orderderivatives in boundary condition , Problem with a spectral parameter in a boundarycondition , Riesz basis ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
