Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator

DOI10.1080/17476933.2022.2097661zbMath1530.45003OpenAlexW4286007572WikidataQ114098010 ScholiaQ114098010MaRDI QIDQ6084013

Meng Sun, Pingrun Li, Songwei Bai

Publication date: 31 October 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2022.2097661

zbMATH Keywords

Riemann boundary value problemsCauchy integral operatorsingular integral equations of convolution typeSokhotski-Plemelj formula

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items (1)

Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems

Cites Work

• Unnamed Item
• On a weighted singular integral operator with shifts and slowly oscillating data
• Solvability of singular integro-differential equations with multiple complex shifts
• Reproducing kernel method of solving singular integral equation with cosecant kernel
• Explicit solutions of Cauchy singular integral equations with weighted Carleman shift
• Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations
• Two integral operators in Clifford analysis
• On methods of solution for some kinds of singular integral equations with convolution
• Some classes of singular integral equations of convolution type in the class of exponentially increasing functions
• Some classes of equations of discrete type with harmonic singular operator and convolution
• Generalized convolution-type singular integral equations
• Solvability of singular integro-differential equations via Riemann-Hilbert problem
• Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions
• One class of generalized boundary value problem for analytic functions
• 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
• Carathéodory theorems for slice regular functions
• Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data
• Fast collocation methods for Volterra integral equations of convolution type
• Two classes of linear equations of discrete convolution type with harmonic singular operators
• On a class of singular integral equations with the linear fractional Carleman shift and the degenerate kernel
• [Russian Text Ignored.]
• [Russian Text Ignored.]
• EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE
• Generalized boundary value problems for analytic functions with convolutions and its applications
• ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION
• An efficient method for singular integral equations of non-normal type with two convolution kernels
• On multi-dimensional integral equations of convolution type with shift

This page was built for publication: Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator