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In this paper the boundary value problem for one class of theoperator-differential equations of the third order on a semi-axis, where one ofthe boundary conditions is perturbed by some linear operator is researched.There are received sufficient conditions on the operator coefficients of theconsidered boundary value problem, providing its correct and univalentresolvability in Sobolev type space.

On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order