Geodesic
Solution of the Tricomi problem for an equation of mixed type with a singular coefficient by the spectral method
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2004), pp. 64-71.

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

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K. B. Sabitov; R. R. Il'yasov. Solution of the Tricomi problem for an equation of mixed type with a singular coefficient by the spectral method. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2004), pp. 64-71. http://geodesic.mathdoc.fr/item/IVM_2004_2_a7/

[1] Keldysh M. V., “O nekotorykh sluchayakh vyrozhdeniya uravnenii ellipticheskogo tipa na granitse oblasti”, DAN SSSR, 77:2 (1951), 181–183

[2] Pulkin S. P., “Nekotorye kraevye zadachi dlya uravneniya $u_{xx}\pm u_{yy}+\frac{p}{x}u_x=0$”, Uchen. zap. Kuibyshevsk. ped. in-ta, 1958, no. 21, 3–54

[3] Pulkin S. P., “O edinstvennosti resheniya singulyarnoi zadachi Gellerstedta”, Izv. vuzov. Matematika, 1960, no. 6, 214–225 | MR

[4] Sabitov K. B., “O printsipe maksimuma dlya uravneniya smeshannogo tipa”, Differents. uravneniya, 24:11 (1988), 1967–1976 | MR | Zbl

[5] Moiseev E. I., “O predstavlenii resheniya zadachi Trikomi v vide biortogonalnogo ryada”, Differents. uravneniya, 27:7 (1991), 1229–1237 | MR | Zbl

[6] Sabitov K. B., Karamova A. A., “Reshenie odnoi gazodinamicheskoi zadachi dlya uravneniya smeshannogo tipa s negladkoi liniei vyrozhdeniya”, Differents. uravneniya, 38:1 (2002), 111–116 | MR | Zbl

[7] Sabitov K. B., Ilyasov P. P., “Reshenie zadachi Trikomi dlya uravneniya s singulyarnym koeffitsientom metodom razdeleniya peremennykh”, Analiz i differents. uravneniya, Tr. mezhdunarodn. nauchn. konf. “Kompleksnyi analiz, differentsialnye uravneniya i smezhnye voprosy”, Ufa, 2000, 153–158

[8] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 1, Nauka, M., 1973, 296 pp.

[9] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ i ryadov, Fizmatgiz, M., 1963, 1100 pp.

[10] Smirnov M. M., Uravneniya smeshannogo tipa, Vyssh. shkola, M., 1985, 304 pp. | MR | Zbl

[11] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Minsk, 1987, 688 pp. | MR

[12] Moiseev E. I., “O bazisnosti odnoi sistemy sinusov”, Differents. uravneniya, 23:1 (1987), 117–179 | MR

[13] Sabitov K. B., Ilyasov P. P., “O nekorrektnosti kraevykh zadach dlya odnogo klassa giperbolicheskikh uravnenii”, Izv. vuzov. Matematika, 2001, no. 5, 59–63 | MR | Zbl