A problem with normal derivatives in the boundary conditions for a system of differential equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 70-72.

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We seek for a solution to a system of differential equations, using linear relations connecting normal derivatives of the desired functions at the domain boundary.
Keywords: hyperbolic systems, boundary value problems, solvability conditions.
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V. I. Zhegalov. A problem with normal derivatives in the boundary conditions for a system of differential equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 70-72. http://geodesic.mathdoc.fr/item/IVM_2008_8_a6/

[1] Zhegalov V. I., “Relation between the boundary values of Goursat problem and the normal derivatives”, Conditionably well-posed problems, TVP Sc. Publ., Moscow, 1994, 346–349 | MR

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

[3] Chekmarev T. V., “Formuly resheniya zadachi Gursa dlya odnoi lineinoi sistemy uravnenii s chastnymi proizvodnymi”, Differents. uravneniya, 18:9 (1982), 1614–1622 | MR | Zbl

[4] Pleschinskaya I. E., “Ob ekvivalentnosti nekotorykh klassov ellipticheskikh i giperbolicheskikh sistem pervogo poryadka i uravnenii vtorogo poryadka s chastnymi proizvodnymi”, Differents. uravneniya, 23:9 (1987), 1634–1637 | MR

[5] Bitsadze A. V., “O strukturnykh svoistvakh reshenii giperbolicheskikh sistem uravnenii s chastnymi proizvodnymi”, Matem. modelirovanie, 6:6 (1994), 22–31 | MR | Zbl

[6] Kharibegashvili S. S., Granichnye zadachi dlya sistem lineinykh differentsialnykh uravnenii vtorogo poryadka giperbolicheskogo tipa, Avtoref. dis. d-ra fiz.-matem. nauk, Tbilisi, 1986, 31 pp. | Zbl

[7] Zhegalov V. I., Zomot N. Kh., Lineinaya kharakteristicheskaya zadacha dlya sistemy uravnenii v chastnykh proizvodnykh pervogo poryadka, Dep. v VINITI 10.02.98, No 394-V98, Kazansk. un-t, 1988, 20 pp. | MR

[8] Zhegalov V. I., Mironov A. N., Differentsialnye uravneniya so starshimi chastnymi proizvodnymi, Kazansk. matem. o-vo, Kazan, 2001, 226 pp. | MR

[9] Sabitov K. B., Funktsionalnye, differentsialnye i integralnye uravneniya, Vyssh. shkola, M., 2005, 670 pp. | MR | Zbl