Application of Faber polynomials to the approximate solution of singular integral equations with the Cauchy kernel

DOI10.1134/S0012266113020067zbMath1266.45006MaRDI QIDQ1955656

S. M. Sheshko, Paweł Wójcik, Michail A. Sheshko

Publication date: 17 June 2013

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Faber polynomialsSingular integral equations

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Integral equations with kernels of Cauchy type (45E05)

Related Items (18)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ Approximate solution of a dominant singular integral equation with conjugation ⋮ Application of Faber polynomials to the approximate solution of a generalized boundary value problem of linear conjugation in the theory of analytic functions ⋮ On the best linear approximation of holomorphic functions ⋮ Existence of analytic solutions for some classes of singular integral equations of non-normal type with convolution kernel ⋮ Some classes of singular integral equations of convolution type in the class of exponentially increasing functions ⋮ Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ Application of Faber polynomials to the approximate solution of the Riemann problem ⋮ Generalized convolution-type singular integral equations ⋮ Singular integral equations of convolution type with cosecant kernels and periodic coefficients ⋮ Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions ⋮ Solvability of singular integro-differential equations via Riemann-Hilbert problem ⋮ Non-normal type singular integral-differential equations by Riemann-Hilbert approach ⋮ Solvability theory of convolution singular integral equations via Riemann-Hilbert approach ⋮ The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann-Hilbert method

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