Geodesic
On a method for solving a linear boundary value problem for an integrodifferential equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1209-1221 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method for solving the linear boundary value problem for an integro-differential equation is proposed that is based on interval partition and the introduction of additional parameters. Necessary and sufficient conditions for the solvability of the problem are obtained. 
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D. S. Dzhumabaev. On a method for solving a linear boundary value problem for an integrodifferential equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1209-1221. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a3/

[1] Krylov N. M., “Pro rizhni uzagalnennya Ritz'ovogo metodu naimenshikh kvadrativ dlya nablizhennogo integruvannya rivnyan matematichnoi fiziki”, Tr. Fizichno-matem. viddilu AN USSR, 3 (1926), 3–28 | Zbl

[2] Romanovskii V. I., “Ob odnom integrodifferentsialnom uravnenii”, Tr. SAGU. Ser. matem., 1934, no. 12, 25–32

[3] Nekrasov A. I., “Ob odnom klasse lineinykh integrodifferentsialnykh uravnenii”, Tr. TsAGI, 1934, no. 190, 1–25

[4] Bykov Ya. V., O nekotorykh zadachakh teorii integrodifferentsialnykh uravnenii, Kirgiz. gos. un-t, Frunze, 1957

[5] Vigranenko T. I., “Ob odnoi granichnoi zadache dlya lineinykh integrodifferentsialnykh uravnenii”, Zap. Leningradskogo gorn. in-ta, 33:3 (1956), 177–187

[6] Krivoshein L. E., Priblizhennye metody resheniya obyknovennykh lineinykh integrodifferentsialnykh uravnenii, AN Kirg. SSR, Frunze, 1962

[7] Samoilenko A. M., Boichuk O. A., Krivosheya S. A., “Kraiovi zadachi dlya sistem liniinikh integrodifferentsialnikh rivnyan z virodzhenim yadrom”, Ukr. matem. zhurnal, 48:11 (1996), 1576–1579 | MR | Zbl

[8] Sharoglazov V. S., Vasilev V. V., “Ob odnom metode priblizhennogo resheniya kraevoi zadachi dlya lineinykh integrodifferentsialnykh uravnenii”, Differents. integr. ur-niya, 3, Irkutsk, 1975, 212–217

[9] Artykov A. Zh., “Usloviya razreshimosti kraevoi zadachi dlya integrodifferentsialnykh uravnenii”, Issled. po integrodifferentsialnym uravneniyam, 25, Ilim, Bishkek, 1994, 110–113

[10] Fodchuk O. V., “Variatsionno-iterativnyi metod resheniya kraevykh zadach dlya integrodifferentsialnykh uravnenii”, Metody issledovaniya differents. i funkts.-differents. ur-nii, AN USSR, Kiev, 1990, 101–109 | MR

[11] Kurbanbaev O. O., “Ob odnoi kraevoi zadache dlya integrodifferentsialnykh uravnenii”, Kraevye zadachi matem. fiz., Kiev, 1990, 29–34 | MR

[12] Franko Kh., “Ob odnom klasse integrodifferentsialnykh uravnenii”, Vestn. RUDN. Ser. prikl. matem. i informatiki, 1999, no. 1, 134–139

[13] Dzhumabaev D. S., “Priznaki odnoznachnoi razreshimosti lineinoi kraevoi zadachi dlya obyknovennogo differentsialnogo uravneniya”, Zh. vychisl. matem. i matem. fiz., 29:1 (1989), 50–66 | MR | Zbl