Singular integral equations of convolution type with cosecant kernels and periodic coefficients

DOI10.1155/2017/6148393zbMath1426.30026OpenAlexW2763667998MaRDI QIDQ1992958

Pingrun Li

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/6148393

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) 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 (10)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ 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 ⋮ 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 Reflection and Translation Shifts ⋮ 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 ⋮ The solvability of a kind of generalized Riemann-Hilbert problems on function spaces \(H_{\ast }\) ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION

Cites Work

• Unnamed Item
• 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 \(L^2\)
• Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
• Boundary behavior of Cauchy-type integrals in Clifford analysis
• Reproducing kernel method of solving singular integral equation with cosecant kernel
• Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition
• Some classes of equations of discrete type with harmonic singular operator and convolution
• Generalized convolution-type singular integral equations
• 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
• One class of generalized boundary value problem for analytic functions
• The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations
• Two classes of linear equations of discrete convolution type with harmonic singular operators
• Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm

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