On the solution of the Hilbert problem with an infinite index.

DOI10.1023/A:1024064822157zbMath1087.30038OpenAlexW4318252MaRDI QIDQ1889467

P. L. Shabalin, R. B. Salimov

Publication date: 2 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024064822157

zbMATH Keywords

Dirichlet problemanalytic functionHilbert boundary-value problemhomogeneous Hilbert problem for the half-planemethod of regularizing multipliers

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

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Solvability of the Riemann–Hilbert boundary value problem with a two-side curling at infinity of order less than 1 ⋮ A homogeneous Hilbert problem with discontinuous coefficients and two-side curling at infinity point of order \(1/2\leq{\rho}<1\) ⋮ The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients ⋮ Solvability homogeneous Riemann-Hilbert boundary value problem with several points of turbulence ⋮ New Method for Investigating the Hilbert Boundary Value Problem with an Infinite Logarithmic Order Index ⋮ The Hilbert Problem in a Half-plane for Generalized Analytic Functions with a Super-singular Point on the Contour of the Boundary Condition ⋮ Inhomogeneous Hilbert boundary value problem with several points of logarithmic turbulence ⋮ Hilbert boundary-value problem with two-side curling at infinity point of different orders

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