Geodesic
Regularization of Abel Equation with the Use of Discontinuous Steklov Operator
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 599-603.

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For getting uniform approximations of the exact solution of Abel equation with an approximate right-hand part a simply constructed family of integral operators is suggested. 
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G. V. Khromova. Regularization of Abel Equation with the Use of Discontinuous Steklov Operator. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 599-603. http://geodesic.mathdoc.fr/item/ISU_2014_14_4_a15/

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[6] Khromova G. V., “On the approximate solutions of the Abel's equation”, Vestnik Moskovskogo universiteta. Ser. 15, 2001, no. 4, 5–9 (in Russian)