Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1993-12-31
On the Solvability of Nonlinear Singular Integral EquationsPeter Junghanns and U. Weber (1) Technische Universität Chemnitz, Germany
(2) Technische Universität Chemnitz-Zwickau, Germany
Three classes of nonlinear singular integral equations of Cauchy type occuring in the treatment of certain free boundary value problems are investigated. Existence of the solution is proved under weaker conditions than in  using the technique which was created in [12, 13] and is based on the application of Schauder’s fixed point theorem.
Keywords: Nonlinear Cauchy type singular integral equations
Junghanns Peter, Weber U.: On the Solvability of Nonlinear Singular Integral Equations. Z. Anal. Anwend. 12 (1993), 683-698. doi: 10.4171/ZAA/537