关键词: Singular integral equations, singular integral operators, operatorial approach

Abstract:

In this article, the authors discuss a kind of modified singular integral quations on a disjoint union of closed contours or a disjoint union of open arcs. The authors introduce some singular integral operators associated with this kind of singular integral equations, and obtain some useful properties for them. An operatorial approach is also given together with some illustrated examples.

Key words: Singular integral equations, singular integral operators, operatorial approach