Extremal problems in linear topological spaces
Izvestiya. Mathematics , Tome 3 (1969) no. 4, pp. 737-794.

Voir la notice de l'article provenant de la source Math-Net.Ru

An axiomatic theory of the first variation is constructed for extremal problems in linear topoligical spaces.
@article{IM2_1969_3_4_a4,
     author = {R. V. Gamkrelidze and G. L. Kharatishvili},
     title = {Extremal problems in linear topological spaces},
     journal = {Izvestiya. Mathematics },
     pages = {737--794},
     publisher = {mathdoc},
     volume = {3},
     number = {4},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_4_a4/}
}
TY  - JOUR
AU  - R. V. Gamkrelidze
AU  - G. L. Kharatishvili
TI  - Extremal problems in linear topological spaces
JO  - Izvestiya. Mathematics 
PY  - 1969
SP  - 737
EP  - 794
VL  - 3
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1969_3_4_a4/
LA  - en
ID  - IM2_1969_3_4_a4
ER  - 
%0 Journal Article
%A R. V. Gamkrelidze
%A G. L. Kharatishvili
%T Extremal problems in linear topological spaces
%J Izvestiya. Mathematics 
%D 1969
%P 737-794
%V 3
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1969_3_4_a4/
%G en
%F IM2_1969_3_4_a4
R. V. Gamkrelidze; G. L. Kharatishvili. Extremal problems in linear topological spaces. Izvestiya. Mathematics , Tome 3 (1969) no. 4, pp. 737-794. http://geodesic.mathdoc.fr/item/IM2_1969_3_4_a4/

[1] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., Matematicheskaya teoriya optimalnykh protsessov, Izd-vo fiz.-mat. lit-ry, M., 1961

[2] Gamkrelidze R. V., “O skolzyaschikh optimalnykh rezhimakh”, Dokl. AN SSSR, 143:6 (1962), 1243–1245 | MR | Zbl

[3] Gamkrelidze R. V., “On some extremal problems in the theory of differential equations with applications to the theory of optimal control”, J. SIAM on Control, 3 (1965), 106–128 | DOI | MR | Zbl

[4] Dubovitskii A. Ya., Milyutin A. A., “Zadacha na ekstremum pri nalichii ogranichenii”, Zh. Vychisl. matem. i matemat. fiziki, 5:3 (1965), 395–453 | Zbl

[5] Neustadt L. W., “An abstract variational theory with applications to a broad class of optimization problems. I. General theory”, J. SIAM on Control, 4 (1966), 505–527 | DOI | MR | Zbl

[6] Neustadt L. W., “An abstract variational theory with applications to a broad class of optimization problems. II. Applications”, J. SIAM on Control, 5 (1967), 90–137 | DOI | MR | Zbl

[7] Halkin-Hubert, Neustadt Luoien W., “General necessary conditions for optimization problems”, Reprinted from the proceedings of the National Academy of sciences, 56:4 (1966), 1066–1071 | DOI | MR

[8] Gamkrelidze R. V., Kharatishvili G., “Teoriya pervoi variatsii v ekstremalnykh zadachakh”, Soobscheniya AN Gruzinskoi SSR, XLVI:1 (1967) | MR

[9] Gamkrelidze R. V., Kharatishvili G. L., “Extremal Problems in Linear Topological Spacer. I”, Mathematical Systems Theory, 1:3 (1967) | DOI | MR