The solution of a pair of dual integral equations

M Lowengrub, IN Sneddon�- Glasgow Mathematical Journal, 1963 - cambridge.org
M Lowengrub, IN Sneddon
Glasgow Mathematical Journal, 1963cambridge.org
The solution of a pair of dual integral equations Page 1 THE SOLUTION OF A PAIR OF DUAL
INTEGRAL EQUATIONS! by M. LOWENGRUB and IN SNEDDON (Received 8 December,
1961) 1. We define two functions F(p), G(p) in terms of a third function i/^) by the equations =
r<KO-/v(�p)^. (0 o Jo A standard problem in the theory of dual integral equations is to determine
the function such that 0>>l), (2) when the functions f(p), g (p) are prescribed. The case in which
g(p) = 0 has been considered by several authors (see references [1], [2], [3]). Recently Copson�…
We define two functions F(p), G(p) in terms of a third function ψ(ζ) by the equationsA standard problem in the theory of dual integral equations is to determine the function ψ(ζ) such thatwhen the functions f(p), g(p) are prescribed.
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