Regularization of the Abel Integral Equation with Perturbation


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Abstract

For some modification of the classical Abel equation—the Abel equation with integral perturbation—the form of the inverse operator is found and a regularization method in the problem of finding uniform approximations of the exact solution of the equation with an approximately specified right-hand side is developed.

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G. V. Khromova

Saratov State University

Author for correspondence.
Email: KhromovAP@info.sgu.ru
Russian Federation, Saratov, 410026

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