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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 6, Pages 945–950
DOI: https://doi.org/10.7868/S004446691806008X (Mi zvmmf10706) 		 
Regularization of the Abel integral equation with perturbation

G. V. Khromova

Saratov State University, Saratov, Russia
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DOI: https://doi.org/10.7868/S004446691806008X
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.
Key words: Abel equation, perturbation, uniform approximations, regularization.
Received: 20.06.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 6, Pages 909–914
DOI: https://doi.org/10.1134/S0965542518060064
Bibliographic databases:
Document Type: Article
UDC: 519.64
Language: Russian
Citation: G. V. Khromova, “Regularization of the Abel integral equation with perturbation”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018), 945–950; Comput. Math. Math. Phys., 58:6 (2018), 909–914
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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