Geodesic
Correct formulation and a spline method for solving a class of singular integro-differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 859-875

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Conditions for the unique solvability of a class of singular integro-differential equations with Hilbertian kernels are examined. A spline method for solving such equations is justified, and numerical results are presented. 
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     author = {A. I. Fedotov},
     title = {Correct formulation and a spline method for solving a class of singular integro-differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {52},
     number = {5},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a8/}
}
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A. I. Fedotov. Correct formulation and a spline method for solving a class of singular integro-differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 859-875. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a8/