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@article{IVM_2000_9_a3, author = {S. F. Morozov and A. V. Semenov}, title = {Generalized curves and necessary conditions for a~discontinuous solution of a~three-dimensional variational problem}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {21--26}, publisher = {mathdoc}, number = {9}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2000_9_a3/} }
TY - JOUR AU - S. F. Morozov AU - A. V. Semenov TI - Generalized curves and necessary conditions for a~discontinuous solution of a~three-dimensional variational problem JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2000 SP - 21 EP - 26 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2000_9_a3/ LA - ru ID - IVM_2000_9_a3 ER -
%0 Journal Article %A S. F. Morozov %A A. V. Semenov %T Generalized curves and necessary conditions for a~discontinuous solution of a~three-dimensional variational problem %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2000 %P 21-26 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2000_9_a3/ %G ru %F IVM_2000_9_a3
S. F. Morozov; A. V. Semenov. Generalized curves and necessary conditions for a~discontinuous solution of a~three-dimensional variational problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2000), pp. 21-26. http://geodesic.mathdoc.fr/item/IVM_2000_9_a3/
[1] Morozov S. F., Vvedenie v teoriyu razryvnykh zadach variatsionnogo ischisleniya, izd-vo Nizhegorodsk. un-ta, N. Novgorod, 1996, 102 pp.
[2] Koshelev V. N., Morozov S. F., “Teoremy suschestvovaniya razryvnykh reshenii v prostranstvennykh variatsionnykh zadachakh, I”, Izv. vuzov. Matematika, 1970, no. 5, 47–52 | MR | Zbl
[3] Koshelev V. N., Morozov S. F., “Teoremy suschestvovaniya razryvnykh reshenii v prostranstvennykh variatsionnykh zadachakh, II”, Izv. vuzov. Matematika, 1977, no. 2, 49–59 | Zbl
[4] Koshelev V. N., Morozov S. F., “O neobkhodimykh usloviyakh ekstremuma variatsionnykh zadach v neparametricheskoi forme na sovokupnosti razryvnykh funktsii”, Izv. vuzov. Matematika, 1970, no. 12, 37–46 | MR | Zbl
[5] Morozov S. F., Semenov A. V., “O suschestvovanii obobschennykh i razryvnykh reshenii prostranstvennykh variatsionnykh zadach”, Vestn. Nizhegorodsk. un-ta. Ser. matem. modelir. i optimal. upravlenie, 1998, no. 2, 166–173
[6] Morozov S. F., Semenov A. V., Obobschennye resheniya razryvnykh zadach variatsionnogo ischisleniya, Dep. v VINITI 26.03.97, No 923-V97, Nizhegorodsk. un-t, N. Novgorod, 1997, 26 pp.
[7] Krotov V. F., “Razryvnye resheniya variatsionnykh zadach”, Izv. vuzov. Matematika, 1960, no. 5, 86–98 | MR | Zbl
[8] Krotov V. F., “Osnovnaya zadacha variatsionnogo ischisleniya dlya prosteishego funktsionala na sovokupnosti razryvnykh funktsii”, DAN SSSR, 137:1 (1961), 31–34 | MR | Zbl
[9] Krotov V. F., Bukreev V. V., Gurman V. I., Novye metody variatsionnogo ischisleniya v dinamike poleta, Mashinostroenie, M., 1969, 288 pp.
[10] Young L. C., “Generalized curves and the existence of an attained absolute minimum in the calculus of variations”, C. R. Sci. Letters Varsovie. C. III, 30 (1937), 212–234 | Zbl
[11] Yang L., Lektsii po variatsionnomu ischisleniyu i teorii optimalnogo upravleniya, Mir, M., 1974, 488 pp. | MR
[12] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1989, 624 pp. | MR
[13] Khalmosh P. R., Teoriya mery, In. lit., M., 1953, 292 pp. | MR
[14] Danford N., Shvarts Dzh. T., Lineinye operatory. Obschaya teoriya, T. I, In. lit., M., 1962, 895 pp.