Статья
2016
A generalization of Bitsadze–Samarskii problem for mixed type equation
M. Mirsaburov, I. N. Khairullaev, U. E. Bobomurodov
Русская математика
https://doi.org/10.3103/S1066369X16100054
Abstract / Full Text
We study a boundary-value problem with Bitsadze–Samarskii conditions on boundary characteristic on a special inner curve and on a segment of degeneration of mixed type equation. Its solvability is proved by method of integral equations, and uniqueness of solution is established by means of the maximum principle.
Author information
- Termez State University, ul. F. Khodzhaeva, Termez, 190111, Republic of UzbekistanM. Mirsaburov, I. N. Khairullaev & U. E. Bobomurodov
References
- Bitsadze, A. V. and Samarskii, A. A. “On Some Simple Generalizations of Linear Elliptic Boundary Problems”, Sov.Math.Dokl. 10, 398–400 (1969).
- Smirnov, M. M. Equations of Mixed Type (Vysshaya shkola, Moscow, 1985) [in Russian].
- Bitsadze, A. V. Some Classes of Partial Differential Equations (Nauka, Moscow, 1981) [in Russian].
- Mikhlin, S. G. “On F. Trikomi Integral Equation”, Dokl. Akad. Nauk SSSR 59, 197–199 (1948).