Geodesic
The Tricomi problem for a mixed type differential-difference equation in an unbounded domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2022), pp. 57-67.

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

The boundary value Tricomi problem for a mixed type equation with a lagged argument in the desired function and its derivative is investigated. The problem is uniquely solvable.
Keywords: mixed type equation, differential-difference equation, integral equation, difference equation, concentrated equation. 
@article{IVM_2022_12_a3,
     author = {A. N. Zarubin and E. V. Chaplygina},
     title = {The {Tricomi} problem for a mixed type differential-difference equation in an unbounded domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {57--67},
     publisher = {mathdoc},
     number = {12},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_12_a3/}
}
TY  - JOUR
AU  - A. N. Zarubin
AU  - E. V. Chaplygina
TI  - The Tricomi problem for a mixed type differential-difference equation in an unbounded domain
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2022
SP  - 57
EP  - 67
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2022_12_a3/
LA  - ru
ID  - IVM_2022_12_a3
ER  - 
%0 Journal Article
%A A. N. Zarubin
%A E. V. Chaplygina
%T The Tricomi problem for a mixed type differential-difference equation in an unbounded domain
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2022
%P 57-67
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2022_12_a3/
%G ru
%F IVM_2022_12_a3
A. N. Zarubin; E. V. Chaplygina. The Tricomi problem for a mixed type differential-difference equation in an unbounded domain. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2022), pp. 57-67. http://geodesic.mathdoc.fr/item/IVM_2022_12_a3/

[1] Zarubin A.N., “Kraevye zadachi dlya funktsionalno-diffirentsialnykh kanonicheskikh uravnenii smeshannogo tipa”, DAN, 477:2 (2017), 142–149

[2] Ter-Krikorov A.M., Shabunin M.I., Kurs matematicheskogo analiza, Nauka, M., 1988

[3] Arkhipov G.I., Sadovnichii V.A., Chubarikov V.N., Lektsii po matematicheskomu analizu, Vyssh. shk., M., 1999

[4] Zarubin A.N., Uravneniya smeshannogo tipa s zapazdyvayuschim argumentom, OGU, Orel, 1999

[5] Samko S.G., Kilbas A.A., Marichev O.I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh primeneniya, Nauka i tekhnika, Minsk, 1987

[6] Gradshtein I.S., Ryzhik I.M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971

[7] Gakhov F.D., Cherskii Yu.I., Uravneniya tipa svertki, Nauka, M., 1978

[8] Prudnikov A.P., Brychkov Yu.A., Marichev O.I., Integraly i ryady, Nauka, M., 1981