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MATHEMATICS
The linear inverse problem for the mixed type equation of the second kind of the second order with nonlocal boundary conditions in three-dimensional space
S. Z. Djamalov Institute of mathematics, Uzbekistan Academy of Sciences
Abstract:
In the present work the problems of correctness of a linear inverse problem for the mixed type equation of the second kind of the second order in three-dimensional space are considered. For this problem, the theorems on existence and uniqueness of the solution are proved in certain class by «$\varepsilon$-regularization» method, Galerkin's and of successive approximations methods.
Keywords:
a linear inverse problem, correctness of solution, Galerkin's method, «$\varepsilon$-regularization» method, method of successive approximations.
Received: 23.12.2016
Citation:
S. Z. Djamalov, “The linear inverse problem for the mixed type equation of the second kind of the second order with nonlocal boundary conditions in three-dimensional space”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 1(17), 7–13
Linking options:
https://www.mathnet.ru/eng/vkam187 https://www.mathnet.ru/eng/vkam/y2017/i1/p7
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Abstract page: | 233 | Full-text PDF : | 68 | References: | 56 |
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