@article{ZVMMF_2001_41_12_a2,
author = {A. S. Strekalovskii},
title = {Extremal problems with d.c.-contraints},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1833--1843},
year = {2001},
volume = {41},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_12_a2/}
}
A. S. Strekalovskii. Extremal problems with d.c.-contraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 12, pp. 1833-1843. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_12_a2/
[1] Rokafellar R., Vypuklyi analiz, Mir, M., 1973
[2] Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 | MR
[3] Klark F., Optimizatsiya i negladkii analiz, Nauka, M., 1983 | MR
[4] Pshenichnyi B. N., Neobkhodimye usloviya ekstremuma, Nauka, M., 1982 | MR
[5] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1988 | MR
[6] Aleksandrov A. D., “Poverkhnosti, predstavimye v vide raznosti vypuklykh funktsii”, Dokl. AN SSSR, 72 (1950), 613–616 | MR | Zbl
[7] Horst R., Tuy H., Global optimization (Deterministic approaches), 2nd edn., Springer, Berlin etc., 1993 | MR
[8] Horst R., Pardalos P., Thoai N., Introduction to global optimization, Kluwer Acad. Publs., Dordrecht etc., 1995 | MR
[9] R. Horst, P. Pardalos (eds.), Handbook of Global Optimization, Kluwer Acad. Publs., Dordrecht, 1995 | MR
[10] Hiriart-Urruty J.-B., “Generalized differentiability. Duality and optimization for problems dealing with difference of convex functions”, Lect. Notes in Economics and Math. Systems, 256, Springer, Berlin, 1985, 37–69 | MR
[11] Hiriart-Urruty J. B., Lemarechal C., Convex analysis and minimization algorithms, Springer, Berlin, 1993
[12] Hiriart-Urruty J.-B., “Conditions for global optimality 2”, Talk at the Workshop on Global Optimization, Univ. Toulouse, Trier, Germany, 1997
[13] Dur M., Horst R., Locaftelli M., “Necessary and sufficient global optimality conditions for convex maximization revisited”, J. Math. Analys. and Appl., 217 (1998), 637–649 | DOI | MR
[14] Merenkov A. P., Khamiev V. Ya., Teoriya gidravlicheskikh tsepei, Nauka, M., 1975
[15] Strekalovskii A. S., “K probleme globalnogo ekstremuma”, Dokl. AN SSSR, 929:5 (1987), 1062–1066 | MR
[16] Strekalovskii A. S., “K probleme globalnogo ekstremuma v nevypuklykh zadachakh optimizatsii”, Izv. vuzov. Matematika, 1990, no. 8, 74–80 | MR
[17] Strekalovskii A. S., “Ob ekstremalnykh zadachakh na dopolneniyakh vypuklykh mnozhestv”, Kibernetika i sistemnyi analiz, 1993, no. 1, 113–126 | MR
[18] Strekalovskii A. S., “Usloviya globalnoi optimalnosti v zadachakh d.c.-programmirovaniya”, Optimizatsiya i upravlenie, 1, Irkutskii gos. un-t, Irkutsk, 1997
[19] Hiriart-Urruty J.-B., Ledyaev Y. A., “Note on the characterization of the global maxima of a (tangentially) convex function over a convex set”, J. Convex Analys., 3:1 (1996), 55–61 | MR | Zbl
[20] Tsevendorj I., “On the global optimality conditions”, J. Mongolian Math. Soc., 1998, no. 2, 58–62 | MR
[21] Strekalovsky A., “Global optimality conditions for nonconvex optimization”, J. Global optimizat., 1998, no. 12, 415–434 | DOI | MR | Zbl