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@article{MZM_2001_70_1_a10, author = {L. S. Pulkina}, title = {A {Nonlocal} {Problem} with {Integral} {Conditions} for the {Quasilinear} {Hyperbolic} {Equation}}, journal = {Matemati\v{c}eskie zametki}, pages = {88--95}, publisher = {mathdoc}, volume = {70}, number = {1}, year = {2001}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a10/} }
L. S. Pulkina. A Nonlocal Problem with Integral Conditions for the Quasilinear Hyperbolic Equation. Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 88-95. http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a10/
[1] Samarskii A. A., “O nekotorykh problemakh sovremennoi teorii differentsialnykh uravnenii”, Differents. uravneniya, 16:11 (1980), 1221–1228 | MR | Zbl
[2] Kamynin L. I., “Ob odnoi kraevoi zadache teorii teploprovodnosti s neklassicheskimi granichnymi usloviyami”, ZhVMiMF, 4:6 (1964), 1006–1024 | MR | Zbl
[3] Ionkin N. I., “Reshenie odnoi kraevoi zadachi teorii teploprovodnosti s neklassicheskim kraevym usloviem”, Differents. uravneniya, 13:2 (1977), 294–304 | MR | Zbl
[4] Cannon J. R., “The solution of the heat equation subject to the specification of energy”, Quart. Appl. Math., 21:2 (1963), 155–160 | MR
[5] Alekseeva S. M., Yurchuk N. I., “Metod kvaziobrascheniya dlya zadachi upravleniya nachalnym usloviem dlya uravneniya teploprovodnosti s integralnym kraevym usloviem”, Differents. uravneniya, 34:4 (1998), 495–502 | MR | Zbl
[6] Bouziani A., Benouar N-E., “Problème mixte avec conditions integrales pour une class d'équations paraboliques”, C. R. Acad. Sci. Paris Sér. I, 321 (1995), 1177–1182 | MR | Zbl
[7] Muravei L. A., Filinovskii A. V., “Ob odnoi nelokalnoi kraevoi zadache dlya parabolicheskogo uravneniya”, Matem. zametki, 54:4 (1993), 98–116 | MR | Zbl
[8] Nakhushev A. M., “Ob odnom priblizhennom metode resheniya kraevykh zadach dlya differentsialnykh uravnenii i ego prilozheniya k dinamike pochvennoi vlagi i gruntovykh vod”, Differents. uravneniya, 18:1 (1982), 72–81 | MR | Zbl
[9] Vodakhova V. A., “Kraevaya zadacha s nelokalnym usloviem A. M. Nakhusheva dlya odnogo psevdoparabolicheskogo uravneniya vlagoperenosa”, Differents. uravneniya, 18:2 (1982), 280–285 | MR | Zbl
[10] Kamynin V. L., Saroldi M., “Nelineinaya obratnaya zadacha dlya parabolicheskogo uravneniya vysokogo poryadka”, ZhVMiMF, 38:10 (1998), 1683–1691 | MR | Zbl
[11] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vysshaya shkola, M., 1995, 301 pp. | Zbl
[12] Belavin I. A., Kapitsa S. P., Kurdyumov S. P., “Matematicheskaya model globalnykh demograficheskikh protsessov s uchetom prostranstvennogo raspredeleniya”, ZhVMiMF, 38:6 (1998), 885–902 | Zbl
[13] Guschin A. K., Mikhailov V. P., “O razreshimosti nelokalnykh zadach dlya ellipticheskogo uravneniya vtorogo poryadka”, Matem. sb., 185:1 (1994), 121–160 | MR | Zbl
[14] Paneyakh B. P., “O nekotorykh nelokalnykh kraevykh zadachakh dlya lineinykh differentsialnykh operatorov”, Matem. zametki, 35:3 (1984), 425–434 | MR | Zbl
[15] Skubachevskii A. L., Steblov G. M., “O spektre differentsialnykh operatorov s oblastyu opredeleniya, ne plotnoi v $L_2(0,1)$”, Dokl. AN SSSR, 321:6 (1991), 1158–1163
[16] Skubachevskii A. L., “O spektre nekotorykh nelokalnykh ellipticheskikh kraevykh zadach”, Matem. sb., 117 (159):4 (1982), 548–558 | MR
[17] Bouziani A., “Solution forte d'un problème mixte avec conditions non locales pour une classe d'équations hyperboliques”, Bull. Cl. Sci. Acad. Roy. Belg., 8 (1997), 53–70 | MR
[18] Gordeziani D. G., Avalishvili G. A., “Resheniya nelokalnykh zadach dlya odnomernykh kolebanii sredy”, Matem. modelirovanie, 12:1 (2000), 94–103 | MR | Zbl
[19] Pulkina L. S., “O razreshimosti v $L_2$ nelokalnoi zadachi s integralnymi usloviyami dlya giperbolicheskogo uravneniya”, Differents. uravneniya, 36:2 (2000), 279–280 | MR | Zbl
[20] Nakhusheva Z. A., “Ob odnoi nelokalnoi zadache dlya uravnenii v chastnykh proizvodnykh”, Differents. uravneniya, 22:1 (1986), 171–174 | MR | Zbl