A problem with an analog of Frankl condition on the characteristics for Gellerstedt equation with singular coefficient
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 39-45.

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For generalized Tricomi equation with singular coefficient in a mixed domain we investigate the problem with an analog of Frankl condition on boundary characteristics. We prove that the formulated problem is correct.
Keywords: analog of Frankl condition on characteristics, uniqueness of solution, singular integral equation, index.
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M. Mirsaburov; S. T. Chorieva. A problem with an analog of Frankl condition on the characteristics for Gellerstedt equation with singular coefficient. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 39-45. http://geodesic.mathdoc.fr/item/IVM_2017_11_a4/

[1] Frankl F. I., “Obtekanie profilei gazom s mestnoi sverkhzvukovoi zonoi, okanchivayuscheisya pryamym skachkom uplotneniya”, PMM, 20:2 (1956), 196–202 | Zbl

[2] Devingtal Yu. V., “O suschestvovanii i edinstvennosti resheniya odnoi zadachi F. I. Franklya”, Izv. vuzov. Matem., 1958, no. 2, 39–51

[3] Lin Tszyan-bin, “O nekotorykh zadachakh Franklya”, Vestn. LGU. Matematika, mekhanika i astronomiya, 3:13 (1961), 28–39 | Zbl

[4] Kapustin N. Yu., Sabitov K. B., “O reshenii odnoi problemy v teorii zadachi Franklya dlya uravnenii smeshannogo tipa”, Differents. uravneniya, 27:1 (1991), 60–68 | MR | Zbl

[5] Smirnov M. M., Uravneniya smeshannogo tipa, Vyssh. shk., M., 1985

[6] Nakhushev A. M., “O nekotorykh kraevykh zadachakh dlya giperbolicheskikh uravnenii i uravnenii smeshannogo tipa”, Differents. uravneniya, 5:1 (1969), 44–59 | Zbl

[7] Salakhitdinov M. S., Mirsaburov M., Nelokalnye zadachi dlya uravnenii smeshannogo tipa s singulyarnymi koeffitsientami, Universitet, Yangiyo'l poligraf servis, Tashkent, 2005

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

[9] Soldatov A. P., “K neterovskoi teorii operatorov. Odnomernye singulyarnye operatory obschego vida”, Differents. uravneniya, 14:4 (1978), 706–718 | Zbl