Краевая задача для уравнения Геллерстедта с~операторами М.~Cайго на характеристиках
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 43 (2006), pp. 19-24.

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

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I. A. Kuznetsova. Краевая задача для уравнения Геллерстедта с~операторами М.~Cайго на характеристиках. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 43 (2006), pp. 19-24. http://geodesic.mathdoc.fr/item/VSGTU_2006_43_a3/

[1] Saigo M., “A remark on integral operators involving the Gauss hypergeometric functions”, Math. Rep. Kyushu Univ., 11:2 (1978), 135–143 | MR | Zbl

[2] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987 | MR | Zbl

[3] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. T. 1. Gipergeometricheskaya funktsiya. Funktsii Lezhandra, Nauka, M., 1973

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

[5] Repin O. A., “Nelokalnaya kraevaya zadacha dlya parabolo-giperbolicheskogo uravneniya s kharakteristicheskoi liniei izmeneniya tipa”, Differents. uravneniya, 23:1 (1992), 173–176 | MR

[6] Agmon S., Nirenberg L., Protter M., “A maximum principle for a class of hyperbolic equation and applications to mixed elliptic-hyperbolic type”, Comm. Pure and Appl. Math., 4 (1953), 455–470 | DOI | MR

[7] Nakhushev A. M., “K teorii vyrozhdayuschikhsya giperbolicheskikh uravnenii”, Soobscheniya AN Gruz. SSR, 77:3 (1975), 545–548 | MR | Zbl

[8] Saigo M., Kilbas A. A., “Generalized fractional integrals and derivatives in Holder spaces”, Transform Methods and Special Functions. Sofia-94, Singapore, 1995, 282–293 | Zbl