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
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.