Mots-clés : existence of solution, singular coefficient.
@article{IVM_2012_1_a7,
author = {Mirsaburova Gulnora},
title = {A problem with {a~Frankl} condition on the boundary of the ellipticity domain for the {Gellerstedt} equation with a~singular coefficient},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {61--66},
year = {2012},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/}
}
TY - JOUR AU - Mirsaburova Gulnora TI - A problem with a Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a singular coefficient JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2012 SP - 61 EP - 66 IS - 1 UR - http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/ LA - ru ID - IVM_2012_1_a7 ER -
%0 Journal Article %A Mirsaburova Gulnora %T A problem with a Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a singular coefficient %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2012 %P 61-66 %N 1 %U http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/ %G ru %F IVM_2012_1_a7
Mirsaburova Gulnora. A problem with a Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a singular coefficient. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 61-66. http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/
[1] Frankl F. I., “Obtekanie profilei gazom dozvukovoi skorosti so sverkhzvukovoi zonoi, okanchivayuscheisya pryamym skachkom uplotneniya”, Prikl. matem. i mekhan., 20:2 (1956), 196–202 | MR | Zbl
[2] Lin Tszyan-bin, “O nekotorykh zadachakh Franklya”, Vestn. LGU. Ser. matem., mekhan. i astr., 1961, no. 3(13), 28–39 | Zbl
[3] Devingtal Yu. V., “O suschestvovanii i edinstvennosti resheniya odnoi zadachi F. I. Franklya”, Izv. vuzov. Matem., 1958, no. 2, 39–51 | MR | Zbl
[4] Salakhitdinov M. S., Mirsaburov M., Nelokalnye zadachi dlya uravnenii smeshannogo tipa s singulyarnymi koeffitsientami, Universitet “Yangiyo'l poligraf servis”, Tashkent, 2005
[5] Bitsadze A. V., Samarskii A. A., “O nekotorykh prosteishikh obobscheniyakh lineinykh ellipticheskikh kraevykh zadach”, DAN SSSR, 185:4 (1969), 739–740 | Zbl
[6] Mirsaburov M., “Kraevaya zadacha dlya odnogo klassa uravnenii smeshannogo tipa s usloviem Bitsadze–Samarskogo na parallelnykh kharakteristikakh”, Differents. uravneniya, 37:9 (2001), 1281–1284 | MR | Zbl
[7] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981 | MR | Zbl