The Enemy boundary value problem for a class of third-order equations
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Genius Journals
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The Vrag boundary value problem for a third-order equation of a mixed-compound type in a quadrilateral domain is considered. Using the Galerkin method under certain conditions for the coefficients and the right side of the equation, the existence of a weakly generalized solution in Sobolev space has been proved. Under the same conditions, the uniqueness of the generalized solution has been proved.