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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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On integrating the vlasov equation

Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, 1962
A first step in analysing the stability of solutions of the Vlasov equation governing hot plasmas of low density is to solve the linearized equation for the perturbed space and velocity distribution function in terms of the perturbed electric and magnetic fields.
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The Solution of an Integral Equation

Canadian Journal of Mathematics, 1964
This paper deals with the problem of finding the solutions of the integral equation where the constant a and the function giipc) are both given and both assumed to be real, while the function ...
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Singular Integral Equations

Journal of Mathematical Physics, 1966
The integral equation P ∫ cK(ζ′,ζ)ζ′−ζφ(ζ′) dζ′=h(ζ)φ(ζ)+f(ζ)is shown to have simple solutions obtained by standard and elementary methods if h and K have appropriate analytic properties.
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Linear Integral Equations

1991
The paper is a general survey of linear integral equations of all kinds studied till now in the literature, both theoretical and applicative. The general plan of each type presentation is the underlining of its apparition, the general results obtained during its development, the major contributions of the authors working in the domain, the methods used
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A Stochastic Integral Equation

SIAM Journal on Applied Mathematics, 1970
We investigate a stochastic integral equation of the form $x'(s) = y'(s) + \int_0^\alpha {K(s,t)dx(t)} $, where $y( s )$ is a process with orthogonal increments on the interval $T_\alpha = [0,\alpha ]$ and $K(s,t)$ is a continuous Fredholm or Volterra kernel on $T_\alpha \times T_\alpha $.
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A New General Integral Transform for Solving Integral Equations

Journal of Advanced Research, 2021
Hossein Jafari
exaly  

Solution of an Integral Equation

Journal of the London Mathematical Society, 1929
G. H. Hardy, E. C. Titchmarsh
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AN INTEGRAL EQUATION

The Quarterly Journal of Mathematics, 1938
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Nonlinear Integral Equations

The Annals of Mathematics, 1955
Cameron, R. H., Shapiro, J. M.
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