A Note on the Solution of a Nonlinear Singular Integral Equation with a Shift in Generalized H？older Space

한국수학교육학회지시리즈B:순수및응용수학 / 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. (DEPARTMENT OF MATHEMATICAL SCIENCES, CAMERON UNIVERSITY)

Argyros, Ioannis K.. (2007). A NOTE ON THE SOLUTION OF A NONLINEAR SINGULAR INTEGRAL EQUATION WITH A SHIFT IN GENERALIZED HOLDER SPACE. 한국수학교육학회지시리즈B:순수및응용수학, 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

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논문 상세

Vol.14 No.4

A NOTE ON THE SOLUTION OF A NONLINEAR SINGULAR INTEGRAL EQUATION WITH A SHIFT IN GENERALIZED HOLDER SPACE

A Note on the Solution of a Nonlinear Singular Integral Equation with a Shift in Generalized H？older Space

Abstract

한국수학교육학회지시리즈B:순수및응용수학