Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem

DOI10.1186/s13662-017-1413-xzbMath1444.45005OpenAlexW2767205230WikidataQ59527404 ScholiaQ59527404MaRDI QIDQ1710130

Pingrun Li

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1413-x

zbMATH Keywords

singular integral equationHilbert kernelconvolution typea discrete jump problem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Discrete version of topics in analysis (39A12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items (14)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ 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 ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE ⋮ Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions ⋮ Singular Integral Equations of Convolution Type with Reflection and Translation Shifts ⋮ 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 ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ An exact estimate result for \(p\)-biharmonic equations with Hardy potential and negative exponents ⋮ The solvability of a kind of generalized Riemann-Hilbert problems on function spaces \(H_{\ast }\) ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION

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