On an inverse problem for the multidimensional equation mixed type of the first kind of the second order with periodic conditions

In the present work, the problems of correctness of inverse problem for the multidimensional equation mixed type of the first kind of the second order with periodic conditions are considered. For this problem, the theorems on existence and uniqueness of the solution are proved in a certain class by "$\varepsilon$-regularization" a priori estimations and of successive approximations methods.