Displaying similar documents to “Two-dimensional boundary value problems of statics of the theory of elastic mixtures.”

Boundary value problems and singular integral equations on Banach function spaces

E. M. Rojas

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We study the solvability and Fredholmness of binomial boundary value problems for analytic functions represented by integrals of Cauchy type with density on abstract nonstandard Banach function spaces, assuming continuous, piecewise continuous and essentially bounded factorizable functions as coefficients. The representation of the solutions of those problems allows us to describe the explicit form of the solutions of the associated singular integral equations in each case. The solvability...

On the generalized boundary value problem

Boris Rudolf (2000)

Archivum Mathematicum

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In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.