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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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
Fredholm equation, absolutely continuous, reproducing kernel

한국수학교육학회지시리즈B:순수및응용수학