REPRESENTATION OF SOLUTIONS OF FREDHOLM EQUATIONS IN <TEX>${W_2}^2$</TEX>(<TEX>$\Omega$</TEX>) OF REPRODUCING KERNELS
Representation of Solutions of Fredholm Equations in W²₂(Ω)of Reproducing Kernels
한국수학교육학회지시리즈B:순수및응용수학 / 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
(Department of mathematics, Won kwang University)
Lee, Jeong-Gon
(Department of mathematics, Won kwang University)
Cui, Ming-Gen
(Harbin Institute of Technology Wei Hai Branch Institute)
Lee, Dong-Myung,
Lee, Jeong-Gon,
&
Cui, Ming-Gen.
(2004). REPRESENTATION OF SOLUTIONS OF FREDHOLM EQUATIONS IN <TEX>${W_2}^2$</TEX>(<TEX>$\Omega$</TEX>) OF REPRODUCING KERNELS. 한국수학교육학회지시리즈B:순수및응용수학, 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