Singular integral equations with a Cauchy kernel

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摘要

A method is proposed to solve various linear and nonlinear integral equations with a Cauchy kernel. It yields closed-form expressions for the solutions. These involve the evaluation of infinite Hilbert integrals. Some examples of solutions of linear and non-linear equations are then presented.

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论文评审过程:Received 21 February 1984, Revised 10 October 1984, Available online 22 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(86)90069-5