On boundary-value problem for functional-differential hyperbolic equation of the third order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 69-73.

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We consider boundary-value problem for functional-differential factorized hyperbolic equation of the third order not investigated earlier. We prove the existence and uniqueness of its solution.
Keywords: factorized hyperbolic equation, boundary-value problem, equation with shift of arguments in sought-for function.
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E. A. Utkina. On boundary-value problem for functional-differential hyperbolic equation of the third order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 69-73. http://geodesic.mathdoc.fr/item/IVM_2016_8_a6/

[1] Zhegalov V. I., Mironov A. N., Utkina E. A., Uravneniya s dominiruyuschei chastnoi proizvodnoi, Izd-vo Kazansk. un-ta, Kazan, 2014

[2] Zarubin A. N., Uravneniya smeshannogo tipa s zapazdyvayuschim argumentom, Uchebnoe posobie, OGU, Orel, 1997

[3] Andreev A. A., “Ob analogakh klassicheskikh kraevykh zadach dlya odnogo differentsialnogo uravneniya vtorogo poryadka s otklonyayuschimsya argumentom”, Differents. uravneniya, 40:5 (2004), 1126–1128 | Zbl

[4] Utkina E. A., “Kharakteristicheskaya granichnaya zadacha dlya uravneniya tretego poryadka s psevdoparabolicheskim operatorom i so smescheniem argumentov iskomoi funktsii”, Izv. vuzov. Matem., 2014, no. 2, 54–60 | Zbl

[5] Zhegalov V. I., Utkina E. A., “Zadachi s normalnymi proizvodnymi v granichnykh usloviyakh dlya giperbolicheskogo uravneniya so smescheniem argumentov iskomoi funktsii”, Differents. uravneniya, 50:2 (2014), 223–228 | DOI | MR | Zbl

[6] Dzhuraev T. D., Popelek Ya., “O kanonicheskikh vidakh uravnenii s chastnymi proizvodnymi $3$-go poryadka”, UMN, 44:4 (1989), 237–238 | MR | Zbl

[7] Elubaev S. E., “Ob odnoi kraevoi zadache dlya uravneniya giperbolicheskogo tipa”, Sib. matem. zhurn., 2:4 (1961), 510–519 | MR | Zbl

[8] Elubaev S. E., “Ob odnoi kraevoi zadache dlya giperbolicheskogo uravneniya tretego poryadka s dvumya nezavisimymi peremennymi”, Vestn. AN KazSSR, 1962, no. 6, 54–62 | Zbl

[9] Dzhuraev T. D., “Ob uravneniyakh smeshanno-sostavnogo tipa”, Izv. AN UzSSR. Ser. fiz.-matem. nauk, 1961, no. 6, 3–14 | Zbl

[10] Dzhuraev T. D., “O nekotorykh kraevykh zadachakh dlya uravnenii smeshanno-sostavnogo tipa”, Sib. matem. zhurn., 4:4 (1963), 775–787 | Zbl

[11] Ni Xingtang, “Boundary value problem with three characteristic supports for linear totally hyperbolic equation of the third order”, Kexue tongbao, 25:5 (1980), 361–369 | MR | Zbl

[12] Zhegalov V. I., “Ob odnoi granichnoi zadache dlya uravneniya v chastnykh proizvodnykh tretego poryadka”, Spektralnaya teoriya differents. operatorov i rodstvennye probl., Tr. mezhdunar. nauchn. konf., v. 1, Sterlitamak, 2003, 119–123

[13] Bitsadze A. V., Uravneniya matematicheskoi fiziki, Nauka, M., 1976 | MR

[14] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1976 | MR