Explicit solutions of Cauchy singular integral equations with weighted Carleman shift

DOI10.1016/j.jmaa.2010.04.050zbMath1198.45004OpenAlexW2026145379MaRDI QIDQ986576

Luis Filipe Pinheiro de Castro, Edixon Rojas

Publication date: 11 August 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.050

zbMATH Keywords

projection methodsCarleman shiftCauchy type singular integral equationssolvability theory

Mathematics Subject Classification ID

Integral equations with kernels of Cauchy type (45E05)

Related Items

Boundary value problems and singular integral equations on Banach function spaces ⋮ Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator ⋮ Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces ⋮ Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients ⋮ On the solvability of singular integral equations with reflection on the unit circle ⋮ Singular Integral Equations of Convolution Type with Reflection and Translation Shifts ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ A new efficient method with error analysis for solving the second kind Fredholm integral equation with Cauchy kernel ⋮ Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

Cites Work

• Unnamed Item
• Unnamed Item
• On the \(C^*\)-algebra of singular integral operators with Carleman shift on a non-closed arc
• On a class of singular integral equations with rotations
• On singular integral equations with the Carleman shifts in the case of the vanishing coefficient
• Singular integral operators with the complex conjugation on curves with cusps
• On a class of singular integral equations with the linear fractional Carleman shift and the degenerate kernel