APPLICATION OF THE METHOD OF OPERATIONAL IDENTITIES FOR THE SOLVING OF ONE CLASS OF THE INTEGRO-DIFFERENTIAL EQUATIONS
Authors:
Type:
Article
Pages:
from 50
to 53
Status:
Published
Received:
29.08.2014
Accepted:
08.10.2014
Published:
08.10.2014
Language:
Russian
Keywords:
integral operator’s, operational identity
Abstract (English):
The problem of integral operator’s inversing on the finite interval, whose kernel satisfies to the differential equation in the particular of a hyperbolic type, is studied by the operator identities method.
The problem of integral operator’s inversing on the finite interval, whose kernel satisfies to the differential equation in the particular of a hyperbolic type, is studied by the operator identities method.
Keywords:
integral operator’s, operational identity
integral operator’s, operational identity
Метод операторных тождеств был впервые применен В.А. Амбарцумяном при изучении проблем астрофизики 1. Затем В.В. Соболев 2, В.В. Иванов 3 применили коммутационные соотношения для решения интегральных уравнений, которые возникают в задачах переноса излучения и рассеивания света.
1. Ambartsumyan, V.A. Nauchnye trudy./ V.A. Ambartsumyan. - Erevan, 1960.
2. Sobolev, V.V. Rasseyanie sveta v atmosferakh planet./ V.V. Sobolev. - M.: Nauka, 1972. - 335 s.
3. Ivanov, V.V. Perenos izlucheniya i spektry nebesnykh tel./ V.V. Ivanov. - M.: Nauka, 1969. - 284 s.
4. Sakhnovich, L.A. Uravnenie s raznostnym yadrom na konechnom otrezke./L.A. Sakhnovich. Uspekhi matematicheskikh nauk. 1980. T.35, vyp. 4 (214). S.69-129.
