A POLYNOMIAL COLLOCATION METHOD FOR A CLASS OF NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH A CARLEMAN SHIFT Page No: 1589-1595

Samah M Dardery

Keywords: Nonlinear singular integral equations, carleman shift, polynomial collocation method, noetherian operator.

Abstract: The paper is concerned with the applicability of the polynomial collocation method to a class of nonlinear singular integral equations with a Carleman shift preserving orientation on simple closed smooth Jordan curve in the generalized Holder space H (L) ? . The method is illustrated by considering some simple examples. 2000 AMS: Subject classification 45G05, 47H10, 47H30, 45L10, 65R20.



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