EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE
From MaRDI portal
Publication:5165255
DOI10.11948/20200192zbMath1481.45003OpenAlexW3111883059MaRDI QIDQ5165255
Publication date: 16 November 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/20200192
singular integral equationsregularity theorydual equationsconvolution kernelRiemann boundary value problems
Boundary value problems in the complex plane (30E25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)
Related Items
An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems
Cites Work
- Suita conjecture and the Ohsawa-Takegoshi extension theorem
- Hardy-Littlewood inequalities for fractional derivatives of invariant harmonic functions
- Normal singular integral operators with Cauchy kernel on \(L^2\)
- Reproducing kernel method of solving singular integral equation with cosecant kernel
- The solvability and explicit solutions of two integral equations via generalized convolutions
- Harmonic boundary value problems in half disc and half ring
- Linear BVPs and SIEs for generalized regular functions in Clifford analysis
- 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
- 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 cosecant kernels and periodic coefficients
- Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions
- Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem
- Numerical solution of systems of Cauchy singular integral equations with constant coefficients
- Separation dichotomy and wavefronts for a nonlinear convolution equation
- One class of generalized boundary value problem for analytic functions
- Non-normal type singular integral-differential equations by Riemann-Hilbert approach
- Approximation methods for second kind weakly singular Volterra integral equations
- Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations
- On the solvability of a class of nonlinear singular parabolic equation with integral boundary condition
- 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
- 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.]
- Generalized boundary value problems for analytic functions with convolutions and its applications
- Singular Integral Equations of Convolution Type with Reflection and Translation Shifts
- ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION
