Dirichlet problem for a singular integro-functional-differential equation of the composite type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 24-32.

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

A problem for a composite integro-functional differential equation with singular integro-functional operators is investigated. The theorems of uniqueness and existence of a twice continuously differentiable solution are proved.
Keywords: equations of compound type, singular integral equations, functional delay, advance, Fourier method.
@article{IVM_2020_10_a2,
     author = {A. N. Zarubin and E. Chaplygina},
     title = {Dirichlet problem for a singular integro-functional-differential equation of the composite type},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {24--32},
     publisher = {mathdoc},
     number = {10},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_10_a2/}
}
TY  - JOUR
AU  - A. N. Zarubin
AU  - E. Chaplygina
TI  - Dirichlet problem for a singular integro-functional-differential equation of the composite type
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2020
SP  - 24
EP  - 32
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2020_10_a2/
LA  - ru
ID  - IVM_2020_10_a2
ER  - 
%0 Journal Article
%A A. N. Zarubin
%A E. Chaplygina
%T Dirichlet problem for a singular integro-functional-differential equation of the composite type
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2020
%P 24-32
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2020_10_a2/
%G ru
%F IVM_2020_10_a2
A. N. Zarubin; E. Chaplygina. Dirichlet problem for a singular integro-functional-differential equation of the composite type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 24-32. http://geodesic.mathdoc.fr/item/IVM_2020_10_a2/

[1] Vekua N. P., Sistemy singulyarnykh integralnykh uravnenii, Mir, M., 1979

[2] Litvinchuk G. S., Kraevye zadachi i singulyarnye integralnye uravneniya so sdvigom, Nauka, M., 1977

[3] Dzhuraev A.Dzh., Sistemy uravnenii sostavnogo tipa, Nauka, M., 1972 | MR

[4] Soldatov A. P., Odnomernye singulyarnye operatory i kraevye zadachi teorii funktsii, Vysshaya shkola, M., 1980

[5] Streng G., Lineinaya algebra i ee primenenie, Mir, M., 1980

[6] Polyanin A. D., Manzhirov A. V., Spravochnik po integralnym uravneniyam, Fizmatlit, M., 2003

[7] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972 | MR

[8] Tikhonov A. N., Ilin V. A., Sveshnikov A. G., Kurs vysshei matematiki i matematicheskoi fiziki, Nauka, M., 1980