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Abel’s Integral Equation and Singular Integral Equations
2011Abel’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, 1962A 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, 1964This 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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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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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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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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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, 1970We 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, 2021Hossein Jafari
exaly
Solution of an Integral Equation
Journal of the London Mathematical Society, 1929G. H. Hardy, E. C. Titchmarsh
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