Geodesic
On some criteria for the quasinilpotency of functional operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2000), pp. 77-80.

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

@article{IVM_2000_2_a11,
     author = {V. I. Sumin and A. V. Chernov},
     title = {On some criteria for the quasinilpotency of functional operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {77--80},
     publisher = {mathdoc},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2000_2_a11/}
}
TY  - JOUR
AU  - V. I. Sumin
AU  - A. V. Chernov
TI  - On some criteria for the quasinilpotency of functional operators
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2000
SP  - 77
EP  - 80
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2000_2_a11/
LA  - ru
ID  - IVM_2000_2_a11
ER  - 
%0 Journal Article
%A V. I. Sumin
%A A. V. Chernov
%T On some criteria for the quasinilpotency of functional operators
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2000
%P 77-80
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2000_2_a11/
%G ru
%F IVM_2000_2_a11
V. I. Sumin; A. V. Chernov. On some criteria for the quasinilpotency of functional operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2000), pp. 77-80. http://geodesic.mathdoc.fr/item/IVM_2000_2_a11/

[1] Zabreiko P. P., “O spektralnom radiuse integralnykh operatorov Volterra”, Lit. matem. sb., 7:2 (1967), 281–287 | MR

[2] Zabreiko P. P., Lomakovich A. N., “Integralnye operatory Volterra v prostranstve funktsii dvukh peremennykh”, Ukr. matem. zhurn., 42:9 (1990), 1187–1191 | MR

[3] Gusarenko S. A., “Ob odnom obobschenii ponyatiya volterrova operatora”, DAN SSSR, 295:5 (1987), 1046–1049 | MR | Zbl

[4] Zhukovskii E. S., “K teorii uravnenii Volterra”, Differents. uravneniya, 25:9 (1989), 1599–1605 | MR

[5] Bukhgeim A. L., Uravneniya Volterra i obratnye zadachi, Nauka, Novosibirsk, 1983, 208 pp. | MR

[6] Corduneany C., Integral equations and applications, Cambridge Univ. Press, Cambridge, 1991, 366 pp. | MR

[7] Sumin V. I., “Funktsionalno-operatornye volterrovy uravneniya v teorii optimalnogo upravleniya raspredelennymi sistemami”, DAN SSSR, 305:5 (1989), 1056–1059 | MR | Zbl

[8] Sumin V. I., Funktsionalnye volterrovy uravneniya v teorii optimalnogo upravleniya raspredelennymi sistemami. Ch. 1. Volterrovy uravneniya i upravlyaemye nachalno-kraevye zadachi, Izd-vo Nizhegorodsk. un-ta, N. Novgorod, 1992, 112 pp.

[9] Tonelli L., “Sulle equazioni funzionali del tipo di Volterra”, Bull. Calcutta Math. Soc., 20 (1929), 31–48

[10] Tikhonov A. N., “O funktsionalnykh uravneniyakh tipa Volterra i ikh prilozheniyakh k nekotorym zadacham matematicheskoi fiziki”, Byull. MGU, Sekts. A, 1:8 (1938), 1–25 | MR | Zbl

[11] Sumin V. I., Chernov A. V., “O volterrovykh operatorakh v prostranstvakh tipa $L_\infty$”, Tr. pervoi mezhdunarodn. konf. “Matematicheskie algoritmy”, Nizhegorodsk. un-t, N. Novgorod, 1995, 111–115

[12] Sumin V. I., Chernov A. V., “O kvazinilpotentnosti funktsionalnykh volterrovykh operatorov”, Matem. modelir. i optimalnoe upravl., Nizhegorodsk. un-t, N. Novgorod, 1996, 32–42

[13] Gursa E., Kurs matematicheskogo analiza. Tom 3. Ch. 1. Beskonechno blizkie integraly. Uravneniya s chastnymi proizvodnymi, GTTI, M.–L., 1933, 276 pp.