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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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Integral Equations

Mathematical Physics, 2020
V. Balakrishnan
semanticscholar   +1 more source

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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Integral Equations

Physical Mathematics, 2019
G. Moroşanu
semanticscholar   +2 more sources

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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