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ISSN : 1226-0657

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Vol.14 No.4
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A Note on the Solution of a Nonlinear Singular Integral Equation with a Shift in Generalized H？older Space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.4, pp.279-282
Argyros, Ioannis K.
Argyros,, I. K. (2007). A Note on the Solution of a Nonlinear Singular Integral Equation with a Shift in Generalized H？older Space. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(4), 279-282.
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Abstract

Using the center instead of the Lipschitz condition we show how to provide weaker sufficient convergence conditions of the modified Newton Kantorovich method for the solution of nonlinear singular integral equations with Curleman shift (NLSIES). Finer error bounds on the distances involved and a more precise information on the location of the solution are also obtained and under the same computational cost than in [1].

keywords
Holder space, modified Newton-Kantorovich method, singular integral equation with a shift

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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