Opuscula Math. 28, no. 3 (2008), 287-294

Opuscula Mathematica

# Generalized characteristic singular integral equation with Hilbert kernel

Paweł Karczmarek

Abstract. In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.

Keywords: singular integral equation, characteristic equation, exact solution, Hilbert kernel.

Mathematics Subject Classification: 45E99.

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• Paweł Karczmarek
• The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, al. Racławickie 14, 20-950 Lublin, Poland
• Revised: 2008-02-29.
• Accepted: 2008-03-14.