Geodesic
Optimal with respect to the order methods of solving integral equations in special case
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 3-12

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We study an integral equation of the third kind with fixed singularities in the kernel. For the approximate solving of these equations in the space of generalized functions we propose and substantiate special generalized versions of spline methods. We show that the constructed methods are optimal with respect to the order.
Keywords: integral equation of the third kind, space of generalized functions, approvimate solution, spline method, theoretical substantiation, optimization with respect to the order. 
@article{IVM_2017_9_a0,
     author = {N. S. Gabbasov and Z. Kh. Galimova},
     title = {Optimal with respect to the order methods of solving integral equations in special case},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--12},
     publisher = {mathdoc},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_9_a0/}
}
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N. S. Gabbasov; Z. Kh. Galimova. Optimal with respect to the order methods of solving integral equations in special case. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2017_9_a0/