Finite-part singular integral approximations in Hilbert spaces

Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on itself. Therefore, some existence theorems are...

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Bibliographic Details
Main Authors: E. G. Ladopoulos, G. Tsamasphyros, V. A. Zisis
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120431135X