Geodesic
Special versions of the collocation method for a class of integral equations of the third kind
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2012), pp. 27-33 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we propose and justify special direct methods for the approximate solution of equations of the third kind in the space of distributions.
Keywords: third-kind integral equation, space of distributions, approximate solution, theoretical substantiation. 
@article{IVM_2012_8_a2,
     author = {N. S. Gabbasov and S. A. Solov'eva},
     title = {Special versions of the collocation method for a~class of integral equations of the third kind},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--33},
     year = {2012},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_8_a2/}
}
TY  - JOUR
AU  - N. S. Gabbasov
AU  - S. A. Solov'eva
TI  - Special versions of the collocation method for a class of integral equations of the third kind
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2012
SP  - 27
EP  - 33
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/IVM_2012_8_a2/
LA  - ru
ID  - IVM_2012_8_a2
ER  - 
%0 Journal Article
%A N. S. Gabbasov
%A S. A. Solov'eva
%T Special versions of the collocation method for a class of integral equations of the third kind
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2012
%P 27-33
%N 8
%U http://geodesic.mathdoc.fr/item/IVM_2012_8_a2/
%G ru
%F IVM_2012_8_a2
N. S. Gabbasov; S. A. Solov'eva. Special versions of the collocation method for a class of integral equations of the third kind. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2012), pp. 27-33. http://geodesic.mathdoc.fr/item/IVM_2012_8_a2/

[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

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

[4] Soloveva S. A., O pryamykh metodakh resheniya integralnykh uravnenii tretego roda v prostranstve obobschennykh funktsii, Diss. $\dotsc$ kand. fiz.-matem. nauk, KGU, Kazan, 2007

[5] Natanson I. P., Konstruktivnaya teoriya funktsii, Gostekhizdat, L., 1949

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

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

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

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

[10] 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