On weighted Hadamard-type singular integrals and their applications

DOI10.1155/2007/62852zbMath1152.45004OpenAlexW2003239243MaRDI QIDQ2472066

Yong-jia Xu

Publication date: 20 February 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54887

zbMATH Keywords

finite part integralprincipal value integralstrongly singular integral equationssingularity deletion methodweighted Hadamard-type singular integrals

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Some properties of singular integral operators over an open curve
• On the approximate computation of certain strongly singular integrals
• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• The numerical evaluation of principal value integrals by finite-part integration
• The complex spline approximation of singular integral operators over an open arc.
• A Generalization of the Cauchy Principal Value
• Asymptotic Solution of a Class of Strongly Singular Integral Equations
• On the solution of integral equations with strongly singular kernels
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