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Статья
2016

A generalization of Bitsadze–Samarskii problem for mixed type equation


M. MirsaburovM. Mirsaburov, I. N. KhairullaevI. N. Khairullaev, U. E. BobomurodovU. 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
  1. Bitsadze, A. V. and Samarskii, A. A. “On Some Simple Generalizations of Linear Elliptic Boundary Problems”, Sov.Math.Dokl. 10, 398–400 (1969).
  2. Smirnov, M. M. Equations of Mixed Type (Vysshaya shkola, Moscow, 1985) [in Russian].
  3. Bitsadze, A. V. Some Classes of Partial Differential Equations (Nauka, Moscow, 1981) [in Russian].
  4. Mikhlin, S. G. “On F. Trikomi Integral Equation”, Dokl. Akad. Nauk SSSR 59, 197–199 (1948).