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The sufficient conditions of the existence, uniqueness, and correctness of the solution of the modified boundary value problem of de la Vall´ ee-Poussin have been found for a

Using the potential method and the theory of singular integral equa- tions with discontinuous coefficients, the existence of a solution of the mixed boundary value problem is

The paper is devoted to proving the existence and uniqueness of a strong solution of a mixed problem with integral boundary conditions for a certain singular parabolic equation..

In this paper we investigate a discontinuous problem of linear conjugation in the class of functions representable by a Cauchy type integral whose boundary values belong to some

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Abstract In this paper, we study the existence of positive solutions of boundary value problems for systems of second-order differential equations with integral boundary condition

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