CUBO A Mathematical Journal Vol.12, N°02, (29–42). June 2010

The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert kernel

M. H. Saleh, S. M. Amer ¹ and M. H. Ahmed

Departement of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt. email: amrsammer@hotmail.com

ABSTRACT

This paper concerned with applicability of the method of Kantorovich majorants to nonlinear singular integral equations with Hilbert kernel . The results are illustrated in Hölder space.

Key words and phrases: Nonlinear singular integral equations, Kantorovich majorants method, Hölder spaces.

RESUMEN

Este artículo es concerniente a la aplicabilidad del método de mayorantes de Kantorovich para ecuaciones integrales singulares no lineales con núcleo de Hilbert. Los resultados son aplicaciones en espacios de Hölder.

AMS 2000-Subject classification: 45F15, 45G10.

Notas

¹Corresponding author

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Received: October 2008.

Revised: February 2009.