Geodesic
On one functional-differential quasilinear hyperbolic equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 69-75.

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

For functional-differential quasilinear hyperbolic equation not investigated earlier, we consider problems with conditions on characteristics and obtain conditions of solvability.
Keywords: quasilinear hyperbolic equation, problem with normal derivatives in boundary conditions, equation with shift of arguments in sought-for function.
Mots-clés : Goursat problem 
@article{IVM_2017_9_a6,
     author = {E. A. Utkina},
     title = {On one functional-differential quasilinear hyperbolic equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {69--75},
     publisher = {mathdoc},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_9_a6/}
}
TY  - JOUR
AU  - E. A. Utkina
TI  - On one functional-differential quasilinear hyperbolic equation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2017
SP  - 69
EP  - 75
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2017_9_a6/
LA  - ru
ID  - IVM_2017_9_a6
ER  - 
%0 Journal Article
%A E. A. Utkina
%T On one functional-differential quasilinear hyperbolic equation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2017
%P 69-75
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2017_9_a6/
%G ru
%F IVM_2017_9_a6
E. A. Utkina. On one functional-differential quasilinear hyperbolic equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 69-75. http://geodesic.mathdoc.fr/item/IVM_2017_9_a6/

[1] Zhegalov V.I., Mironov A.N., Utkina E.A., Uravneniya s dominiruyuschei chastnoi proizvodnoi, Izd-vo Kazansk. un-ta, Kazan, 2014

[2] Zarubin A.N., Uchebn. posobie, OGU, Orel, 1997

[3] Andreev A.A., “Ob analogakh klassicheskikh kraevykh zadach dlya odnogo differentsialnogo uravneniya vtorogo poryadka s otklonyayuschimsya argumentom”, Differents. uravneniya, 40:5 (2004), 1126–1128 | Zbl

[4] Utkina E.A., “Kharakteristicheskaya granichnaya zadacha dlya uravneniya tretego poryadka s psevdoparabolicheskim operatorom i so smescheniem argumentov iskomoi funktsii”, Izv. vuzov. Matem., 2014, no. 2, 54–60

[5] Zhegalov V.I., Utkina E.A., “Zadachi s normalnymi proizvodnymi v granichnykh usloviyakh dlya giperbolicheskogo uravneniya so smescheniem argumentov iskomoi funktsii”, Differents. uravneniya, 50:2 (2014), 223–228 | DOI | Zbl

[6] Utkina E.A., “Kharakteristicheskaya granichnaya zadacha dlya uravneniya chetvertogo poryadka s psevdoparabolicheskim operatorom s smescheniem argumentov iskomoi funktsii”, Differents. uravneniya, 51:3 (2015), 421–424 | DOI | Zbl

[7] Utkina E.A., “Kharakteristicheskaya granichnaya zadacha dlya funktsionalno-differentsialnogo uravneniya tretego poryadka s operatorom Bianki”, Differents. uravneniya, 51:12 (2015), 1641–1646 | DOI | Zbl

[8] Bitsadze A.V., Uravneniya matematicheskoi fiziki, Nauka, M., 1982

[9] Trikomi F., Lektsii po uravneniyam v chastnykh proizvodnykh, In. lit., M., 1957

[10] Zhegalov V.I., Mironov A.N., “Trekhmernye kharakteristicheskie zadachi s normalnymi proizvodnymi v granichnykh usloviyakh”, Differents. uravneniya, 36:6 (2000), 833–836 | Zbl

[11] Utkina E.A., “O zadachakh Gursa s dopolnitelnymi normalnymi proizvodnymi v kraevykh usloviyakh”, Izv. vuzov. Matem., 2004, no. 4, 61–65

[12] Utkina E.A., “Povyshenie poryadka normalnykh proizvodnykh v granichnykh usloviyakh zadachi Gursa”, Izv. vuzov. Matem., 2007, no. 4, 79–83

[13] Utkina Ye.A., Maher A., “On problems reduced to the Goursat problem for a third order equation”, Iranian J. Sci. Technology, Transaction A, 30:A3 (2006), 271–277 | MR

[14] Maher A., Utkina A.Ye., “On problems reducing to the Goursat problem for fourth order equation”, Iranian J. Sci. Technology, Transaction A, 31:A2 (2007), 163–170 | MR | Zbl