Existence of analytic solutions for some classes of singular integral equations of non-normal type with convolution kernel
DOI10.1007/s10440-022-00522-wzbMath1505.45001OpenAlexW4292840417WikidataQ114227780 ScholiaQ114227780MaRDI QIDQ2676773
Publication date: 28 September 2022
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-022-00522-w
integral operatordual equationssingular convolution equationsanalytic solutionsWiener-Hopf equationsboundary value problems of analytical functions
Boundary value problems in the complex plane (30E25) Asymptotics of solutions to integral equations (45M05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) 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)
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Cites Work
- Suita conjecture and the Ohsawa-Takegoshi extension theorem
- Hardy-Littlewood inequalities for fractional derivatives of invariant harmonic functions
- Cauchy integral formulae in quaternionic Hermitean Clifford analysis
- Normal singular integral operators with Cauchy kernel on \(L^2\)
- Evolutionary computational intelligence in solving a class of nonlinear Volterra-Fredholm integro-differential equations
- Reproducing kernel method of solving singular integral equation with cosecant kernel
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
- The solvability and explicit solutions of two integral equations via generalized convolutions
- Two integral operators in Clifford analysis
- Harmonic boundary value problems in half disc and half ring
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Some classes of equations of discrete type with harmonic singular operator and convolution
- Solvability of singular integro-differential equations via Riemann-Hilbert problem
- Solving singular convolution equations using the inverse fast Fourier transform.
- Application of Faber polynomials to the approximate solution of singular integral equations with the Cauchy kernel
- Numerical solution of systems of Cauchy singular integral equations with constant coefficients
- Separation dichotomy and wavefronts for a nonlinear convolution equation
- 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
- Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel
- 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.]
- 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
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