Geodesic
The Goursat problem for a~three-dimensional equation with a~higher derivative
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2001), pp. 77-81.

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

@article{IVM_2001_11_a9,
     author = {V. I. Zhegalov and E. A. Utkina},
     title = {The {Goursat} problem for a~three-dimensional equation with a~higher derivative},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {77--81},
     publisher = {mathdoc},
     number = {11},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2001_11_a9/}
}
TY  - JOUR
AU  - V. I. Zhegalov
AU  - E. A. Utkina
TI  - The Goursat problem for a~three-dimensional equation with a~higher derivative
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2001
SP  - 77
EP  - 81
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2001_11_a9/
LA  - ru
ID  - IVM_2001_11_a9
ER  - 
%0 Journal Article
%A V. I. Zhegalov
%A E. A. Utkina
%T The Goursat problem for a~three-dimensional equation with a~higher derivative
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2001
%P 77-81
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2001_11_a9/
%G ru
%F IVM_2001_11_a9
V. I. Zhegalov; E. A. Utkina. The Goursat problem for a~three-dimensional equation with a~higher derivative. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2001), pp. 77-81. http://geodesic.mathdoc.fr/item/IVM_2001_11_a9/

[1] Soldatov A. P., Shkhanukov M. Kh., “Kraevye zadachi s obschim nelokalnym usloviem A. A. Samarskogo dlya psevdoparabolicheskikh uravnenii vysokogo poryadka”, DAN SSSR, 297:3 (1987), 547–552 | MR

[2] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vyssh. shkola, M., 1995, 301 pp. | Zbl

[3] Colton D., “Pseudoparabolic equations in one space variable”, J. Different. Equat., 12:3 (1972), 559–565 | DOI | MR | Zbl

[4] Rundell W., Stecher M., “Remarks concerning the supports of solution of pseudoparabolic equation”, Proc. Amer. Math. Soc., 63:1 (1977), 77–81 | DOI | MR | Zbl

[5] Rundell W., “The construction of solutions to pseudoparabolic equations in noncylindrical domains”, J. Different. Equat., 27:3 (1978), 394–404 | DOI | MR | Zbl

[6] Rundell W., Stecher M., “The uniqueness class for the Cauchy problem for pseudoparabolic equation”, Proc. Amer. Math. Soc., 76:2 (1979), 253–257 | DOI | MR | Zbl

[7] Vodakhova V. A., “Kraevaya zadacha s nelokalnym usloviem A. M. Nakhusheva dlya odnogo psevdoparabolicheskogo uravneniya vlagoperenosa”, Differents. uravneniya, 18:2 (1982), 280–285 | MR | Zbl

[8] Shkhanukov M. Kh., “Ob odnom metode resheniya kraevykh zadach dlya uravnenii tretego poryadka”, DAN SSSR, 265:6 (1982), 1327–1330 | MR | Zbl

[9] Zhegalov V. I., Utkina E. A., “Ob odnom psevdoparabolicheskom uravnenii tretego poryadka”, Izv. vuzov. Matematika, 1999, no. 10, 73–76 | MR | Zbl

[10] Fage M. K., “Zadacha Koshi dlya uravneniya Bianki”, Matem. sb., 45:3 (1958), 281–322 | MR | Zbl

[11] Zhegalov V. I., “Trekhmernyi analog zadachi Gursa”, Neklassich. uravneniya i uravneniya smeshan. tipa, In-t matem. SO AN SSSR, Novosibirk, 1990, 94–98 | MR | Zbl

[12] Zhegalov V. I., “O trekhmernoi funktsii Rimana”, Sib. matem. zhurn., 38:5 (1997), 1074–1079 | MR | Zbl

[13] Bondarenko B. A., Bazisnye sistemy polinomialnykh i kvazipolinomialnykh reshenii uravnenii v chastnykh proizvodnykh, Fan, Tashkent, 1987, 146 pp. | MR

[14] Fage M. K., “Operatorno-analiticheskie funktsii odnoi nezavisimoi peremennoi”, Tr. Mosk. matem. o-va, 7, 1958, 227–268 | MR | Zbl

[15] Myuntts G., Integralnye uravneniya, Ch. 1, GTTI, L.–M., 1934, 320 pp.

[16] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981, 448 pp. | MR

[17] Kampe de Fere Zh., Kempbell R., Peto G., Fogel T., Funktsii matematicheskoi fiziki, GIFML, M., 1963, 102 pp.