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S.M.Amer and A.S.Nagdy: On the Solvability of Nonlinear Singular Integral Equations with Cauchy Kernel on an Interval, p.283-294

Abstract:

This paper concerns the investigation of a class of nonlinear singular integral equations with Cauchy kernel under certain conditions. The tech-nique being based on the application of Schauder's fixed point theorem.

Key Words: Nonlinear singular integral equations, Schauder's fixed point theorem, Sobolev space.

2000 Mathematics Subject Classification: Primary: 45F15, Secondary: 45G10.

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