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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017 Number 1(17), Pages 7–13 (Mi vkam187)

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.

UDC: 517.956.6

MSC: Primary 34M10; Secondary 35M20

Received: 23.12.2016

DOI: 10.18454/2079-6641-2017-17-1-7-13



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