@article{Maikotov_2018, title={The Dirichlet problem for multidimensional hyperbola-parabolic equations with degeneracy of type and order}, volume={98}, url={https://bm.kaznu.kz/index.php/kaznu/article/view/405}, DOI={10.26577/jmmcs-2018-2-405}, abstractNote={<p>The fundamental problems of mathematical physics-the study of the behavior of an oscillating<br>string-is incorrect when the boundary conditions are given on the entire boundary of the region.<br>As A. Bitsadze, A.Nakhushev noted, the Dirichlet problem is ill-posed (in the sense of unique<br>solvability) not only for the wave equation, but also for general hyperbolic equations. S.A Aldashev<br>previously studied the Dirichlet problem for degenerate multidimensional hyperbolic equations,<br>where a unique solvability of this problem is proved, which depends essentially on the height of<br>the cylindrical region under consideration. This paper shows the solvability of the Dirichlet problem<br>in a cylindrical domain for multidimensional hyperbola-parabolic equations with degeneration of<br>type and order.<br>Key words: multidimensional</p>}, number={2}, journal={Journal of Mathematics, Mechanics and Computer Science}, author={Maikotov, M. N.}, year={2018}, month={Aug.}, pages={23–32} }