Representation of Solutions of Fredholm Equations in W²₂(Ω)of Reproducing Kernels
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.2, pp.133-138
Lee, Dong-Myung
Lee, Jeong-Gon
Cui, Ming-Gen
Lee,,
D.
, Lee,,
J.
, &
Cui,,
M.
(2004). Representation of Solutions of Fredholm Equations in W²₂(Ω)of Reproducing Kernels. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(2), 133-138.
Abstract
In this paper we derive a decomposition of the solution of Fredholm equations of the second kind in terms of reproducing kernels in the space <TEX>${W_2}^2$</TEX>(<TEX>$\Omega$</TEX>)
- keywords
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Fredholm equation,
absolutely continuous,
reproducing kernel