Abstract:
In the present work for the second order mixed-type equation of the second kind we study one-valued solvability and smoothness of the generalized solution of nonlocal boundary value problem with constant coefficients in Sobolev spaces.
Keywords:second order mixed type equation of the second kind, nonlocal boundary value problem with constant coefficients, uniqueness, existence and smoothness of generalized solution, Sobolev space, Galerkin method, "$\varepsilon$-regularization" method.
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