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@article{MT_2023_26_1_a9, author = {V. V. Shemetova}, title = {On a boundary value problem for a pseudohyperbolic equation}, journal = {Matemati\v{c}eskie trudy}, pages = {192--207}, publisher = {mathdoc}, volume = {26}, number = {1}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MT_2023_26_1_a9/} }
V. V. Shemetova. On a boundary value problem for a pseudohyperbolic equation. Matematičeskie trudy, Tome 26 (2023) no. 1, pp. 192-207. http://geodesic.mathdoc.fr/item/MT_2023_26_1_a9/
[1] O. V. Besov, V. P. Ilin, S. M. Nikolskii, Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975
[2] L. N. Bondar, G. V. Demidenko, “Kraevye zadachi dlya odnogo psevdogiperbolicheskogo uravneniya v chetverti ploskosti”, Matem. tr., 24:2 (2021), 3–23
[3] L. N. Bondar, V. V. Shemetova, “O kraevykh zadachakh v chetverti ploskosti dlya odnogo psevdogiperbolicheskogo uravneniya”, Matem. tr., 25:2 (2022), 3–30
[4] V. Z. Vlasov, Tonkostennye uprugie sterzhni, Stroiizdat, M.–L., 1940
[5] S. I. Gerasimov, V. I. Erofeev, Zadachi volnovoi dinamiki elementov konstruktsii, FGUP “RFYaTs-VNIIEF”, Sarov, 2014
[6] G. V. Demndenko, ucheb. posobie, RITs NGU, Novosib. gos. un-t, Novosibirsk, 2015
[7] G. V. Demndenko, “Usloviya razreshimosti zadachi Koshi dlya psevdogiperbolicheskikh uravnenii”, Sib. matem. zhurn., 56:6 (2015), 1289–1303
[8] G. V. Demndenko, S. V. Uspenskii, Uravneniya i sistemy, ne razreshennye otnositelno starshei proizvodnoi, Nauchnaya kniga, Novosibirsk, 1998
[9] S. L. Sobolev, Izbrannye trudy, v. 1, Uravneniya matematicheskoi fiziki. Vychislitelnaya matematika i kubaturnye formuly, eds. Demndenko G. V., Vaskevich V. L., izd-vo in-ta Matematiki, filial “Geo” izd-va SO RAN, Novosibirsk, 2003
[10] X. G. Umarov, “Zadacha Koshi dlya uravneniya krutilnykh kolebanii nelineino-uprugogo sterzhnya beskonechnoi dliny”, Prikladnaya matematika i mekhanika, 83:2 (2019), 249–264
[11] X. G. Umarov, “Razrushenie i globalnaya razreshimost zadachi Koshi dlya psevdogiperbolicheskogo uravneniya, svyazannogo s obobschennym uravneniem Bussineska”, Sib. matem. zhurn., 63:3 (2022), 672–689
[12] S. V. Uspenskii, G. V. Demndenko, V. G. Perepelkin, Teoremy vlozheniya i prilozheniya k differentsialnym uravneniyam, Nauka, Novosibirsk, 1984
[13] L. N. Boudai, V. Nurmakhmatov, “On solvability of the boundary value problem for one pseudohyperbolic equation”, Sib. elektron. matem. izv., 18:2 (2021), 1046–1057
[14] I. Fedotov, M. Shatalov, J. Marais, “Hyperbolic and pseudo-hyperbolic equations in the theory of vibration”, Acta Mech., 227:11 (2016), 3315–3324
[15] I. Fedotov, L. V. Volevich, “The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative”, Russ. J. Math. Phys., 13:3 (2006), 278–292