Muskhelishvili, N. I.
Singular integral ecuations: Boundary problems of function theory and their application to mathematical physic / N. I. Muskhelishvili - Segunda edición - 447 páginas ; 13 x 22 cm.
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.
0486668932 (pbk)
Ecuaciones integrales
Matematicas
Calculo
515.45 / / M987s
Singular integral ecuations: Boundary problems of function theory and their application to mathematical physic / N. I. Muskhelishvili - Segunda edición - 447 páginas ; 13 x 22 cm.
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.
0486668932 (pbk)
Ecuaciones integrales
Matematicas
Calculo
515.45 / / M987s