Geodesic
Special variant of subdomain method for intergal equations of the third kind with singularities in a~kernel
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 19-26.

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In this paper we study integral equations of the third kind with fixed singularities in the kernel. For the approximate solution of these equations in the space of generalized functions we substantiate a new variant of the subdomain method.
Keywords: integral equations of the third kind, space of generalized functions, approximate solution
Mots-clés : subdomain method. 
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N. S. Gabbasov; R. R. Zamaliev. Special variant of subdomain method for intergal equations of the third kind with singularities in a~kernel. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 19-26. http://geodesic.mathdoc.fr/item/IVM_2014_10_a2/

[1] Adamar Zh., Zadacha Koshi dlya lineinykh uravnenii s chastnymi proizvodnymi giperbolicheskogo tipa, Nauka, M., 1978 | MR

[2] Bart G. R., Warnock R. L., “Linear integral equations of the third-kind”, SIAM J. Math. Anal., 4:4 (1973), 609–622 | DOI | MR | Zbl

[3] Keiz K. M., Tsvaifel P. F., Lineinaya teoriya perenosa, Mir, M., 1972

[4] Bzhikhatlov Kh. G., “Ob odnoi kraevoi zadache so smescheniem”, Differents. uravneniya, 9:1 (1973), 162–165

[5] Gabbasov N. S., “Optimalnyi metod resheniya integralnykh uravnenii tretego roda”, Dokl. RAN, 362:1 (1998), 12–15 | MR | Zbl

[6] Gabbasov N. S., Metody resheniya integralnykh uravnenii Fredgolma v prostranstvakh obobschennykh funktsii, Izd-vo Kazansk. un-ta, Kazan, 2006

[7] Gabbasov N. S., “Metody resheniya integralnogo uravneniya tretego roda s fiksirovannymi osobennostyami v yadre”, Differents. uravneniya, 45:9 (2009), 1341–1348 | MR | Zbl

[8] Gabbasov N. S., Zamaliev R. R., “Novye varianty splain-metodov dlya integralnykh uravnenii tretego roda s osobennostyami v yadre”, Differents. uravneniya, 46:9 (2010), 1320–1328 | MR | Zbl

[9] Gabdulkhaev B. G., Optimalnye approksimatsii reshenii lineinykh zadach, Izd-vo Kazansk. un-ta, Kazan, 1980 | MR

[10] Pressdorf Z., “Singulyarnoe integralnoe uravnenie s simvolom, obraschayuschimsya v nul v konechnom chisle tochek”, Matem. issledovaniya, 7:1 (1972), 116–132 | MR

[11] Uzhdavinis I. V., “O skhodimosti metoda tipa podoblastei”, Differents. uravneniya i ikh primenenie, 1971, no. 1, 73–83