Results 221 to 230 of about 5,593 (262)

Normalization of Systems of Singular Integral Equations

Differential Equations, 2001
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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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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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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 Note on a Singular Integral Equation

IMA Journal of Applied Mathematics, 1980
Chakrabarti, A., Williams, W. E.
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On Singular Normal Linear Integral Equations

Canadian Mathematical Bulletin, 1970
In this work we consider the equation1where K(x, y) is singular in the sense that it does not properly belong to L2 and f(x) is an arbitrary L2 function.A Lebesgue measurable function K(x, y) of two variables, having real values on [0.1] × [0.1] is called a singular normal kernel ...
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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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Asymptotic separation for stochastic Volterra integral equations with doubly singular kernels

Applied Mathematics Letters, 2021
Chengming Huang, Yaozhong Hu
exaly