Solution of certain weakly singular integral equations

Chakrabarti, A (2006) Solution of certain weakly singular integral equations. In: IMA Journal of Applied Mathematics, 71 (4). pp. 534-543.

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Abstract

Direct function theoretic methods are developed to handle two weakly singular integral equations with their kernels having logarithmic singularity. The present methods avoid the occurrence of higher-order (or strong) singularities, like the Cauchy type singularity in the representation of the solutions of such integral equations.

Item Type:	Journal Article
Publication:	IMA Journal of Applied Mathematics
Publisher:	Institute of Mathematics and its Applications
Additional Information:	Copyright of this article belongs to Institute of Mathematics and its Applications.
Keywords:	Function theoretic methods;Weakly singular integral equations;Plemelj-type formulae;Riemann–Hilbert problem
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	12 Mar 2007
Last Modified:	19 Sep 2010 04:34
URI:	http://eprints.iisc.ac.in/id/eprint/9700

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