Regularization of the Abel Integral Equation with Perturbation
- Authors: Khromova G.V.1
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Affiliations:
- Saratov State University
- Issue: Vol 58, No 6 (2018)
- Pages: 909-914
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179647
- DOI: https://doi.org/10.1134/S0965542518060064
- ID: 179647
Cite item
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.
About the authors
G. V. Khromova
Saratov State University
Author for correspondence.
Email: KhromovAP@info.sgu.ru
Russian Federation, Saratov, 410026
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