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@article{IM2_1986_26_1_a4, author = {V. I. Kazimirov and V. I. Plotnikov and I. M. Starobinets}, title = {An~abstract scheme for the method of variations and necessary conditions for an extremum}, journal = {Izvestiya. Mathematics }, pages = {133--151}, publisher = {mathdoc}, volume = {26}, number = {1}, year = {1986}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1986_26_1_a4/} }
TY - JOUR AU - V. I. Kazimirov AU - V. I. Plotnikov AU - I. M. Starobinets TI - An~abstract scheme for the method of variations and necessary conditions for an extremum JO - Izvestiya. Mathematics PY - 1986 SP - 133 EP - 151 VL - 26 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1986_26_1_a4/ LA - en ID - IM2_1986_26_1_a4 ER -
%0 Journal Article %A V. I. Kazimirov %A V. I. Plotnikov %A I. M. Starobinets %T An~abstract scheme for the method of variations and necessary conditions for an extremum %J Izvestiya. Mathematics %D 1986 %P 133-151 %V 26 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1986_26_1_a4/ %G en %F IM2_1986_26_1_a4
V. I. Kazimirov; V. I. Plotnikov; I. M. Starobinets. An~abstract scheme for the method of variations and necessary conditions for an extremum. Izvestiya. Mathematics , Tome 26 (1986) no. 1, pp. 133-151. http://geodesic.mathdoc.fr/item/IM2_1986_26_1_a4/
[1] Dubovitskii A. Ya., Milyutin A. A., “Zadachi na ekstremum pri nalichii ogranichenii”, ZhVM i MF, 5:3 (1965), 395–453 | Zbl
[2] Gamkrelidze R. V., “Neobkhodimye usloviya pervogo poryadka i aksiomatika ekstremalnykh zadach”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 112, 1971, 152–180 | MR | Zbl
[3] Pshenichnyi B. N., Neobkhodimye usloviya ekstremuma, Nauka, M., 1969 | MR
[4] Pshenichnyi B. N., Nenakhov E. I., “Neobkhodimye usloviya ekstremuma v zadachakh s operatornymi ogranicheniyami”, Kibernetika, 3 (1971), 35–46
[5] Neustadt L. W., “A general theory of extremals”, J. Comp. System. Sci., 3 (1969), 57–92 | MR | Zbl
[6] Neishtadt L., “Abstraktnaya variatsionnaya teoriya s prilozheniyami k shirokomu klassu zadach optimizatsii. I. Obschaya teoriya”, Kibernetika, 1967, no. 1, 77–91
[7] Halkin H., Neustadt L. W., “General necessary conditions for optimisation problems”, Proc. Nat. Acad. Sci., 56 (1966), 1066–1071 | DOI | MR | Zbl
[8] Gamkrelidze R. V., Kharatishvili G. L., “Ekstremalnye zadachi v lineinykh topologicheskikh prostranstvakh”, Izv. AN SSSR. Ser. mat., 33:4 (1969), 781–839 | MR | Zbl
[9] Dubovitskii A. Ya., Milyutin A. A., Neobkhodimye usloviya slabogo ekstremuma v obschei zadache optimalnogo upravleniya, Nauka, M., 1971
[10] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl
[11] Plotnikov V. I., “Neobkhodimye i dostatochnye usloviya optimalnosti i usloviya edinstvennosti optimiziruyuschikh funktsii dlya upravlyaemykh sistem obschego vida”, Izv. AN SSSR. Ser. matem., 36:3 (1972), 652–679 | MR | Zbl
[12] Lerei Zh., Shauder Yu., “Topologiya i funktsionalnye uravneniya”, Uspekhi matem. nauk, 1:3–4(13–14) (1946), 71–95 | MR
[13] Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 | MR