Projection methods for solving singular integral equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2004), pp. 12-24.

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B. G. Gabdulkhaev. Projection methods for solving singular integral equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2004), pp. 12-24. http://geodesic.mathdoc.fr/item/IVM_2004_7_a1/

[1] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977, 640 pp. | MR | Zbl

[2] Muskhelishvili N. I., Singulyarnye integralnye uravneniya. Granichnye zadachi teorii funktsii i nekotorye ikh prilozheniya k matematicheskoi fizike, 3-e izd., Nauka, M., 1968, 511 pp. | MR | Zbl

[3] Chibrikova L. I., Osnovnye granichnye zadachi dlya analiticheskikh funktsii, Izd-vo Kazansk. un-ta, Kazan, 1977, 303 pp.

[4] Michlin S. G., Prößdorf S., Singuläre Integraloperatoren, Akademic-Verlag, Berlin, 1980, 514 s. | MR | Zbl

[5] Ivanov V. V., “Metody priblizhennogo resheniya singulyarnykh integralnykh uravnenii”, Itogi nauki i tekhn. Matem. analiz 1963, VINITI, M., 1965, 125–177 | MR

[6] Gabdulkhaev B. G., “Konechnomernye approksimatsii singulyarnykh integralov i pryamye metody resheniya osobykh integralnykh i integro-differentsialnykh uravnenii”, Itogi nauki i tekhn. Matem. analiz, 18, VINITI, M., 1980, 251–307 | MR

[7] Lifanov I. K., Tyrtyshnikov E. E., “Teplitsevy matritsy i integralnye uravneniya”, Vychisl. protsessy i sistemy, 1990, no. 7, 94–278 | MR | Zbl

[8] Elliot D., “The approximate solution of singular integral equations”, Solut. Meth. Integral Equations: Theory and Appl., New York–London, 1979, 83–107 | MR | Zbl

[9] Prößdorf S., “Numerishe Behandlung singulärer Integralgleichungen”, Z. angew. Math. und Mech., 69:4 (1989), 5–13 | MR | Zbl

[10] Ivanov V. V., Teoriya priblizhennykh metodov i ee primenenie k chislennomu resheniyu singulyarnykh integralnykh uravnenii, Nauk. dumka, Kiev, 1968, 287 pp. | MR

[11] Gokhberg I. Ts., Feldman I. A., Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Nauka, M., 1971, 352 pp. | MR

[12] Gabdulkhaev B. G., Optimalnye approksimatsii reshenii lineinykh zadach, Izd-vo Kazansk. un-ta, Kazan, 1980, 232 pp. | MR

[13] Belotserkovskii S. M., Lifanov I. K., Chislennye metody v singulyarnykh integralnykh uravneniyakh i ikh primenenie v aerodinamike, teorii uprugosti, elektrodinamike, Nauka, M., 1985, 253 pp. | MR | Zbl

[14] Gabdulkhaev B. G., Pryamye metody resheniya singulyarnykh integralnykh uravnenii pervogo roda, Izd-vo Kazansk. un-ta, Kazan, 1994, 288 pp. | MR

[15] Lifanov I. K., Metod singulyarnykh integralnykh uravnenii i chislennyi eksperiment, TOO “Yanus”, M., 1995, 520 pp. | MR | Zbl

[16] Gabdulkhaev B. G., Chislennyi analiz singulyarnykh integralnykh uravnenii. Izbr. glavy., Izd-vo Kazansk. un-ta, Kazan, 1995, 230 pp. | MR

[17] Gabdulkhaev B. G., “Mnogomernye singulyarnye integralnye uravneniya s polozhitelnymi operatorami”, Differents. uravneniya, 29:9 (1993), 1504–1516 | MR | Zbl

[18] Gabdulkhaev B. G., “Metody resheniya singulyarnykh integralnykh uravnenii s polozhitelnymi operatorami”, Differents. uravneniya, 33:3 (1997), 400–409 | MR | Zbl

[19] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, M., 1959, 684 pp. | MR

[20] Mikhlin S. G., Kurs matematicheskoi fiziki, Nauka, M., 1968, 575 pp. | MR

[21] Korneichuk N. P., Splainy v teorii priblizheniya, Nauka, M., 1984, 352 pp. | MR

[22] Korneichuk N. P., Tochnye konstanty v teorii priblizheniya, Nauka, M., 1987, 424 pp. | MR