Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel

Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek

Abstract


In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.

Keywords


Singular integral equations; Cauchy-type kernel; multiplicative kernel; logarithmic singularities

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References


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DOI: http://dx.doi.org/10.2478/v10062-012-0016-y
Date of publication: 2016-07-25 12:22:17
Date of submission: 2016-07-25 12:12:43


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Copyright (c) 2012 Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek