Characteristic problems with normal derivatives for hyperbolic systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 43-54.

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

We consider characteristic problems with normal derivatives for a hyperbolic system with two independent variables. Using the Riemann method, we obtain solvability conditions for these problems accurate to several arbitrary constants.
Keywords: hyperbolic system, characteristic problem with normal derivatives, Riemann method.
@article{IVM_2013_10_a3,
     author = {E. A. Sozontova},
     title = {Characteristic problems with normal derivatives for hyperbolic systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {43--54},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a3/}
}
TY  - JOUR
AU  - E. A. Sozontova
TI  - Characteristic problems with normal derivatives for hyperbolic systems
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 43
EP  - 54
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_10_a3/
LA  - ru
ID  - IVM_2013_10_a3
ER  - 
%0 Journal Article
%A E. A. Sozontova
%T Characteristic problems with normal derivatives for hyperbolic systems
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 43-54
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_10_a3/
%G ru
%F IVM_2013_10_a3
E. A. Sozontova. Characteristic problems with normal derivatives for hyperbolic systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 43-54. http://geodesic.mathdoc.fr/item/IVM_2013_10_a3/

[1] Zhegalov V. I., “Relation between the boundary values of Goursat problem and the normal derivatives”, Conditionally Well-Posed Problems, TVP Sc. Publ., Moscow, 1994, 346–349

[2] Kotukhov M. P., “O nekotorykh differentsialnykh svoistvakh reshenii odnogo uravneniya v chastnykh proizvodnykh”, Izv. vuzov. Matem., 1996, no. 5, 59–62 | MR | Zbl

[3] Mironov A. N., “O svyazi granichnykh znachenii zadachi Gursa s normalnymi proizvodnymi tretego poryadka”, Izv. vuzov. Matem., 1999, no. 10, 23–26 | MR | Zbl

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

[5] Zhegalov V. I., Mironova L. B., “Ob odnoi sisteme uravnenii s dvukratnymi starshimi chastnymi proizvodnymi”, Izv. vuzov. Matem., 2007, no. 3, 12–21 | MR | Zbl

[6] Zhegalov V. I., “Zadacha s normalnymi proizvodnymi v granichnykh usloviyakh dlya sistemy differentsialnykh uravnenii”, Izv. vuzov. Matem., 2008, no. 8, 70–72 | MR | Zbl

[7] Mironova L. B., “O metode Rimana v $R^n$ dlya odnoi sistemy s kratnymi kharakteristikami”, Izv. vuzov. Matem., 2006, no. 1, 34–39 | MR | Zbl

[8] Zabreiko P. P., Koshelev A. I. i dr., Integralnye uravneniya, Nauka, M., 1968 | MR