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Singular integral equations with multiplicative Cauchy-type kernels

Kaczmarek P., Pylak D., Wójcik P.

Fasciculi Mathematici

2013

Nr 50

77--90

In this paper we consider singular integral equations of the first kind with multiplicative Cauchy-type kernels defined on n-dimensional domains. We give their general solutions in the class of Holder continuous functions and propose the statements of uniqueness problem.

Singular integral equation with a multiplicative Cauchy kernel in the half-plane

Karczmarek P.

Opuscula Mathematica

2008

Vol. 28, no. 1

63-72

In this paper the explicit solutions of singular integral equation with a multiplicative Cauchy kernel in the half-plane are presented.

Application of Chebyshew and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane

Karczmarek P.

Opuscula Mathematica

2008

Vol. 28, no. 2

129-136

In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.