ON THE CORRECTNESS OF A NONLOCAL PROBLEM FOR THE SECOND ORDER MIXED TYPE EQUATION OF THE SECOND KIND IN A RECTANGLE

In this work the correctness of a nonlocal problem from the Sobolev spaces is proved under the some restrictions to the coefficients of the considered second order mixed type equation of the second kind. Methods of proving are method of "$\varepsilon$-regularization", a priory estimates and Galerkin's method.

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