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. 
@article{ISU_2014_14_4_a15,
     author = {G. V. Khromova},
     title = {Regularization of {Abel} {Equation} with the {Use} of {Discontinuous} {Steklov} {Operator}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {599--603},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_4_a15/}
}
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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/