Geodesic
New versions of the collocation method for a~class of integrodifferential equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2001), pp. 24-32.

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N. S. Gabbasov. New versions of the collocation method for a~class of integrodifferential equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2001), pp. 24-32. http://geodesic.mathdoc.fr/item/IVM_2001_9_a3/

[1] 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

[2] Keiz K. M., Tsvaifel P. F., Lineinaya teoriya perenosa, Mir, M., 1972, 384 pp.

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

[4] Vekua N. P., “Integralnye uravneniya tipa Fredgolma s integralom v smysle Adamara”, Tr. Matem. in-ta AN Gruz. SSR, 7, Tbilisi, 1940, 113–148

[5] Gabbasov N. S., “Obobschennyi metod kollokatsii dlya integralnykh uravnenii tretego roda”, Differents. uravneniya, 25:9 (1989), 1612–1614 | MR | Zbl

[6] Gabbasov N. S., “Novye pryamye metody resheniya integralnykh uravnenii tretego roda”, Izv. vuzov. Matematika, 1990, no. 4, 15–23 | MR

[7] Gabbasov N. S., “Novyi pryamoi metod resheniya integralnykh uravnenii tretego roda”, Matem. zametki, 49:1 (1991), 40–46 | MR

[8] Gabbasov N. S., “Novye varianty metoda kollokatsii dlya integralnykh uravnenii tretego roda”, Matem. zametki, 50:2 (1991), 47–53 | MR | Zbl

[9] Gabbasov N. S., “Ob odnom splain-metode chislennogo resheniya integralnykh uravnenii tretego roda”, Differents. uravneniya, 27:9 (1991), 1648–1650 | Zbl

[10] Gabbasov N. S., “Optimalnyi proektsionnyi metod resheniya odnogo klassa integralnykh uravnenii”, Differents. uravneniya, 30:2 (1994), 333–335 | MR | Zbl

[11] Gabbasov N. S., “Optimal spline method for solving integral equations of the third kind”, Short Communications of ICM, Zurich, 1994, 239

[12] Gabbasov N. S., “Metody resheniya odnogo klassa integralnykh uravnenii III roda”, Izv. vuzov. Matematika, 1996, no. 5, 19–28 | MR

[13] Gabbasov N. S., Metody resheniya integralnykh uravnenii Fredgolma v prostranstvakh obobschennykh funktsii, Dis. ...dokt. fiz.-matem. nauk, Novosibirsk, 1996, 318 pp.

[14] Gabbasov N. S., “K teorii lineinykh integralnykh uravnenii tretego roda”, Differents. uravneniya, 32:9 (1996), 1192–1201 | MR | Zbl

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

[16] Gabbasov N. S., “O priblizhennom reshenii integralnykh uravnenii vtorogo roda v klasse gladkikh funktsii”, Vestn. NGPI, 1998, no. 1, 53–54 | MR

[17] Gabbasov N. S., “Teoriya razreshimosti odnogo klassa integro-differentsialnykh uravnenii v prostranstve obobschennykh funktsii”, Differents. uravneniya, 35:9 (1999), 1216–1226 | MR | Zbl

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

[19] Pressdorf Z., “Singulyarnoe integralnoe uravnenie s simvolom, obraschayuschimsya v nul v konechnom chisle tochek”, Matem. issledovaniya, 7, No 1, Kishinev, 1972, 116–132

[20] Gabbasov N. S., “Novyi pryamoi metod resheniya integralnykh uravnenii pervogo roda”, Differents. uravneniya, 26:12 (1990), 2122–2127 | MR

[21] Adamar Zh., Zadacha Koshi dlya lineinykh uravnenii s chastnymi proizvodnymi giperbolicheskogo tipa, Nauka, M., 1978, 351 pp. | MR

[22] Natanson I. P., Konstruktivnaya teoriya funktsii, Gostekhizdat, M.–L., 1949, 688 pp. | MR

[23] Edvards R., Funktsionalnyi analiz, Mir, M., 1969, 1071 pp.

[24] Petersen I., “O skhodimosti priblizhennykh metodov interpolyatsionnogo tipa dlya obyknovennykh differentsialnykh uravnenii”, Izv. AN EstSSR. Ser. fiz.-matem. i tekh. nauk, 1961, no. 1, 3–12 | Zbl

[25] Kaspshitskaya M. F., Tukalevskaya N. I., “K voprosu o skhodimosti metoda kollokatsii”, Ukr. matem. zhurn., 19:4 (1967), 48–56 | MR | Zbl