Opuscula Math. 28, no. 1 (2008), 63-72

Opuscula Mathematica

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

Paweł Karczmarek

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

Keywords: singular integral equation, exact solution, Cauchy kernel, multiplicative kernel.

Mathematics Subject Classification: 45E05.

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• Paweł Karczmarek
• The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, Al. Raclawickie 14, 20-950 Lublin
• Revised: 2007-07-11.
• Accepted: 2007-07-12.