A Nonlinear Boundary Problem

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Nov 1985Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 95, page 441 (issn: 0002-9939,

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Authors: Hatcher, John R.;

doi: 10.2307/2045816 , 10.1090/s0002-9939-1985-0806084-2

A Nonlinear Boundary Problem

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Abstract

A nonlinear Hilbert problem of power type is solved in closed form by representing a sectionally holomorphic function by means of an integral with power kernel. This technique transforms the problem to one of solving an integral equation of the generalized Abel type.

Keywords

Hilbert-Gakhov problem, Boundary value problems in the complex plane, Singular nonlinear integral equations, Abel equation

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