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Singular Integral Equations

2012
The theory introduced in previous chapters, especially the Fredholm Theory, was presented under the restrictive assumptions that the kernel was continuous on its domain of definition and that the interval of integration was finite. There is no guarantee that those results or similar ones will hold if the kernel has an infinite discontinuity or if the ...
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Normalization of Systems of Singular Integral Equations

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Spline Collocation for Singular Integral Equations

Mathematische Nachrichten, 1983
AbstractThis paper is devoted to the approximate solution of one‐dimensional singular integral equations on a closed curve by spline collocation methods. As the main result we give conditions which are sufficient and in special cases also necessary for the convergence in SOBOLEV norms.The paper is organized as follows.
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Abel’s Integral Equation and Singular Integral Equations

2011
Abel’s integral equation occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Abel’s integral equation is the earliest example of an integral equation [2].
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A Particular Class of Singular Integral Equations

SIAM Journal on Applied Mathematics, 1971
The integral equation \[ \int_0^1 \left\{ \frac{1}{y - x} + \frac{{P_n [y/(y + x)]}}{{y + x}} \right\}\varphi (y) dy = h(x),\quad 0 < x < 1, \], with $P_n (z)$ representing a polynomial of degree n, is investigated. A change of variables $(x = \exp ( - t),y = \exp ( - t))$ transforms the equation into one of the Wiener-Hopf type.
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A Note on a Singular Integral Equation

IMA Journal of Applied Mathematics, 1980
Chakrabarti, A., Williams, W. E.
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On a boundary value problem for the heat equation and a singular integral equation associated with it

Applied Mathematics and Computation, 2021
Muvasharkhan Jenaliyev, Murat Ramazanov   +1 more
exaly  

Note on a Singular Integral Equation

IMA Journal of Applied Mathematics, 1978
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Singular Integral Equations^†

Proceedings of the London Mathematical Society, 1940
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On a Class of Singular Integral Equations

Journal of Mathematics and Physics, 1941
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