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, we prove the uniqueness of the problem solution. For proving the existence of the solution, we use

of decomposition by multidimensional spherical functions. The theorem of existence and uniqueness of the classical

the uniqueness criterion and prove the solution existence and stability theorems. The solution of the problem

-Yurko matrix is obtained. Moreover, the uniqueness theorem for the inverse problem solution is proved

and uniqueness of a bounded solution (BS) of this problem is established. The application of the main theorem

on the real line. On the basis of the theory of positive operators, we prove an existence and uniqueness

linear differential equation with involution is proved. Theorem on existence and uniqueness of bounded

transforms is reduced to inverse problem of Sturm-Liouville problem. The uniqueness theorems are proved

of the integral term that depends on both the temporal and one spatial variable. Local unique solvability

Страница 8 из 987