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Singular integral ecuations: Boundary problems of function theory and their application to mathematical physic / N. I. Muskhelishvili

By: Muskhelishvili, N. I [autor].
New York : Dover, 1992Edition: Segunda edición.Description: 447 páginas ; 13 x 22 cm.Content type: texto Media type: no mediado Carrier type: volumenISBN: 0486668932 (pbk).Subject(s): Ecuaciones integrales | Matematicas | CalculoDDC classification: 515.45 /
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List(s) this item appears in: Matemática aplicada | Matemáticas | Matemáticas actualizado | Bib. Programa Matemáticas | calculo
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General 515.45 / M987s (Browse shelf) 8001 1 Available CO 8000008525
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the Hölder condition -- integrals of the Cauchy type -- some corollaries on Cauchy integrals -- Cauchy

integrals near ends of the line of integration -- the Hilbert y Riemann- Hilbert boundary problems --

singular integral equations with Cauchy type kernels (case of contours) -- the Dirichlet problem -- various

representations of holomorphic functions by Cauchy and analogous integrals -- solution of the generalized

Riemann-Hilbert-Poincaré problems -- the Hilbert problem in the case of arcs or discontinuous boundary

conditions -- inversion formulae for arcs -- effective solution of some boundary problems of the theory of

harmonic functions -- effective solution of the principal problems of the static theory of elasticity for the

half-plane, circle and analogous regions -- singular integral equations for the case of arcs and continuous

coefficients -- singular integral equations in the case of discontinuous coefficients -- aplication to the

Dirichlet problem and similar problems -- solution of the integro-diferential-equation of the theory of

aircraft wings of finite span -- the Hilbert problem for several unknown functions -- systems of singular

integral equations with Cauchy type kernels and some supplements.

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