Geodesic
A certain boundary value problem with shifts in a~four-dimensional space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 50-55.

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We consider a problem with shifts in boundary conditions for the Bianchi equation in a four-dimensional space. We establish sufficient conditions which allow one to obtain its unique solution in terms of the Riemann function.
Keywords: problem with shifts, Riemann's function. 
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E. A. Utkina. A certain boundary value problem with shifts in a~four-dimensional space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 50-55. http://geodesic.mathdoc.fr/item/IVM_2009_4_a6/

[1] Zhegalov V. I., “Kraevaya zadacha dlya uravneniya smeshannogo tipa s granichnymi usloviyami na obeikh kharakteristikakh i s razryvami na perekhodnoi linii”, Uchen. zap. Kazansk. un-ta, 122:3 (1962), 3–16 | MR | Zbl

[2] Bitsadze A. V., Samarskii A. A., “O nekotorykh prosteishikh obobscheniyakh lineinykh ellipticheskikh kraevykh zadach”, DAN SSSR, 185:4 (1969), 739–740 | Zbl

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

[4] Zhegalov V. I., “Trekhmernyi analog zadachi Gursa”, Neklassich. uravneniya i uravneniya smeshannogo tipa, Novosibirsk, 1990, 94–98 | MR | Zbl

[5] Zhegalov V. I., “Variant trekhmernoi kraevoi zadachi so smescheniyami”, Tez. dokl. mezhdunar. konf. “Nelokalnye kraevye zadachi i rodstvennye problemy matematicheskoi biologii, informatiki i fiziki”, Nalchik, 1996, 37

[6] Zhegalov V. I., Utkina E. A., “Kraevaya zadacha so smescheniyami v $R_3$”, Materialy III mezhdunarodnoi konferentsii “Nelokalnye kraevye zadachi i rodstvennye problemy matematicheskoi biologii, informatiki i fiziki” (Nalchik, 5–8 dekabrya 2006), 118–120

[7] Zhegalov V. I., Mironov A. N., Differentsialnye uravneniya so starshimi chastnymi proizvodnymi, Kazansk. matem. o-vo, Kazan, 2001, 226 pp.