Mots-clés : Cauchy kernel.
@article{VSGU_2010_6_a7,
author = {S. A. Sayganova},
title = {On the problem with {M.~Saigo} operators on characteristics for a~degenerative hyperbolic equation},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {69--77},
year = {2010},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2010_6_a7/}
}
TY - JOUR AU - S. A. Sayganova TI - On the problem with M. Saigo operators on characteristics for a degenerative hyperbolic equation JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2010 SP - 69 EP - 77 IS - 6 UR - http://geodesic.mathdoc.fr/item/VSGU_2010_6_a7/ LA - ru ID - VSGU_2010_6_a7 ER -
S. A. Sayganova. On the problem with M. Saigo operators on characteristics for a degenerative hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 69-77. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a7/
[1] Nakhushev A. M., Zadachi so smescheniem dlya uravnenii v chastnykh proizvodnykh, Nauka, M., 2006, 287 pp.
[2] Saigo M., “A remark on integral operators involving the Gauss hypergeometric function”, Math. Rep. Kyushu Univ., 11:2 (1978), 135–143 | MR | Zbl
[3] Saigo M., “A certain boundary value problem for the Euler–Poisson–Darboux equation”, Math. Japan, 24:4 (1979), 377–385 | MR | Zbl
[4] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987, 688 pp. | MR | Zbl
[5] Kalmenov T. Sh., Kraevye zadachi dlya lineinykh uravnenii v chastnykh proizvodnykh giperbolicheskogo tipa, Galym, Shymkent, 1993, 328 pp.
[6] Volkodavov V. F., Nikolaev N. Ya., Kraevye zadachi dlya uravneniya Eilera–Puassona–Darbu, ucheb. posobie po spetskursu “Uravneniya matematicheskoi fiziki”, Izd-vo Kuibyshev. gos. ped. un-ta, Kuibyshev, 1984, 80 pp. | MR
[7] Kumykova S. K., “Zadacha s nelokalnymi usloviyami na kharakteristikakh dlya vyrozhdayuschegosya vnutri oblasti giperbolicheskogo uravneniya”, Differents. uravneniya, 17:1 (1981), 81–90 | MR | Zbl
[8] Repin O. A., “O razreshimosti zadachi s kraevym usloviem na kharakteristikakh dlya vyrozhdayuschegosya giperbolicheskogo uravneniya”, Differents. uravneniya, 34:1 (1998), 110–113 | MR | Zbl
[9] Smirnov M. M., Uravneniya smeshannogo tipa, Vysshaya shkola, M., 1985, 304 pp. | MR | Zbl
[10] Saigo M., Kilbas A. A., “Generalized fractional integrals and derivatives in Holder spaces”, Transform Methods and Special Functions. Sofia 94, Proceeding of International Workshop, Sci. Cult. Tech. Publ., Singapore, 1995, 282–293 | Zbl
[11] Trikomi F., Lektsii po uravneniyam v chastnykh proizvodnykh, Izd-vo inostr. lit., M., 1960, 299 pp.