Geodesic
On a class of Volterra equations of the first kind
Funkcionalʹnyj analiz i ego priloženiâ, Tome 6 (1972) no. 1, pp. 1-9.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1972_6_1_a0,
     author = {A. L. Bukhgeim},
     title = {On a class of {Volterra} equations of the first kind},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {1--9},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1972_6_1_a0/}
}
TY  - JOUR
AU  - A. L. Bukhgeim
TI  - On a class of Volterra equations of the first kind
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1972
SP  - 1
EP  - 9
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1972_6_1_a0/
LA  - ru
ID  - FAA_1972_6_1_a0
ER  - 
%0 Journal Article
%A A. L. Bukhgeim
%T On a class of Volterra equations of the first kind
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1972
%P 1-9
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1972_6_1_a0/
%G ru
%F FAA_1972_6_1_a0
A. L. Bukhgeim. On a class of Volterra equations of the first kind. Funkcionalʹnyj analiz i ego priloženiâ, Tome 6 (1972) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/FAA_1972_6_1_a0/

[1] Lavrentev M.M., Obratnye zadachi i spetsialnye operatornye uravneniya pervogo roda, Doklad na mezhdunarodnom matem. kongresse, Nitstsa, 1970

[2] Dunford N., “Spectral operators”, Pacific. J. Math., 4 (1954), 321–354 | DOI | MR | Zbl

[3] Foguel S.R., “The relations between a spectral operator and its scalar part”, Pacific J. Math., 8 (1958), 51–65 | DOI | MR | Zbl

[4] Dunford N., “A survey of the theory of spectral operators”, Bull. Amer. Math. Soc., 65:5 (1958), 217–274 ; Matematika, 4:1 (1960), 53–100 | DOI | MR

[5] Gelfand I.M., Graev M.I., Vilenkin N.Ya., Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii, Obobschennye funktsii, 5, Fizmatgiz, M., 1962 | MR

[6] Romanov V.G., Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Nauka, Novosibirsk, 1969 | MR

[7] Bukhgeim A.L., “Ob odnom klasse operatornykh uravnenii”, DAN SSSR, 1972 | Zbl

[8] Lavrentev M.M., Mukhometov R.G., “Issledovanie na ustoichivost obratnoi kinematicheskoi zadachi seismiki”, Matematicheskie problemy geofiziki, no. 1, izd-vo SO AN SSSR, Novosibirsk, 1969

[9] Goxberg I.Ts., Krein M.G., Teoriya volterrovykh operatorov v gilbertovom prostranstve i ee prilozheniya, Nauka, M., 1967 | MR

[10] Krein S.G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967 | MR

[11] Gelfand I.M., Shilov G.E., Obobschennye funktsii i deistviya nad nimi, Obobschennye funktsii, 1, Fizmatgiz, M., 1958

[12] Lions Zh.- L., Madzhenes N., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl

[13] Tikhonov A.N., Ivanov V.K., Lavrentev M.M., Nekorrektno postavlennye zadachi. Differentsialnye uravneniya s chastnymi proizvodnymi, Nauka, M., 1970 | Zbl

[14] Lavrentev M.M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Novosibirsk, 1962 | MR

[15] Tikhonov A.N., “Ob ustoichivosti obratnykh zadach”, DAN SSSR, 39:5 (1944), 195–198

[16] Ivanov V.K., “Nekorrektnye zadachi v topologicheskikh prostranstvakh”, Sib. matem. zh., 10:5 (1969), 1065–1074 | Zbl

[17] Gelfand I.M., Fomin S.V., Variatsionnoe ischislenie, Fizmatgiz, M., 1961 | MR

[18] Tikhonov A.N., “O regulyarizatsii nekorrektno postavlennykh zadach”, DAN SSSR, 152:1 (1963), 49–52

[19] Bakushinskii A.B., “Odin obschii priem postroeniya regulyarizuyuschikh algoritmov dlya lineinogo nekorrektnogo uravneniya v gilbertovom prostranstve”, ZhVMMF, 7:3 (1967), 672–677