|
|
|
|
References
|
|
| |
| 1. |
Vasilev F. P., Metody optimizatsii, V 2-kh kn., MTsMNO, M., 2011 |
| 2. |
Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 |
| 3. |
Oben Zh.-P., Nelineinyi analiz i ego ekonomicheskie prilozheniya, Mir, M., 1988 |
| 4. |
Oben Zh.-P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988 |
| 5. |
Sumin M. I., “Regulyarizatsiya v lineino vypukloi zadache matematicheskogo programmirovaniya na osnove teorii dvoistvennosti”, Zhurn. vychisl. matem. i matem. fiz., 47:4 (2007), 602–625 |
| 6. |
Sumin M. I., Nekorrektnye zadachi i metody ikh resheniya, Materialy k lektsiyam dlya studentov starshikh kursov, Izd-vo Nizhegorodsk. gos. un-ta, N. Novgorod, 2009 |
| 7. |
Sumin M. I., “Regulyarizovannaya parametricheskaya teorema Kuna–Takkera v gilbertovom prostranstve”, Zhurn. vychisl. matem. i matem. fiz., 51:9 (2011), 1594–1615 |
| 8. |
Sumin M. I., “On the stable sequential Kuhn–Tucker theorem and its applications”, Appl. Math., 3:10A, Special issue “Optimization” (2012), 1334–1350 |
| 9. |
Varga Dzh., Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977 |
| 10. |
Sumin M. I., “Ob ustoichivom sekventsialnom printsipe Lagranzha v vypuklom programmirovanii i ego primenenii pri reshenii neustoichivykh zadach”, Tr. In-ta matem. i mekhan. UrO RAN, 19, no. 4, 2013, 231–240 |
| 11. |
Vladimirov A. A., Nesterov Yu. E., Chekanov Yu. N., “O ravnomerno vypuklykh funktsionalakh”, Vestn. Moskovsk. un-ta. Ser. vych. matem. i kibern., 1978, no. 3, 12–23 |
| 12. |
Rudin U., Funktsionalnyi analiz, Mir, M., 1975 |
| 13. |
Danford N., Shvarts Dzh., Lineinye operatory, v. I, Obschaya teoriya, In. lit., M., 1962 |
| 14. |
S. G. Krein (red.), Funktsionalnyi analiz, Ser. “Spravochnaya matem. bibl.”, Nauka, M., 1972 |
| 15. |
Borwein J. M., Strojwas H. M., “Proximal analysis and boundaries of closed sets in Banach space, I: Theory”, Can. J. Math., 38:2 (1986), 431–452 |
| 16. |
Borwein J. M., Strojwas H. M., “Proximal analysis and boundaries of closed sets in Banach space, II: Applications”, Can. J. Math., 39:2 (1987), 428–472 |
| 17. |
Mordukhovich B. S., Variational analysis and generalized differentiation, v. I, Basic theory, Springer, Berlin, 2006 |
| 18. |
Ekland I., Temam R., Vypuklyi analiz i variatsionnye problemy, Mir, M., 1979 |
| 19. |
Ekeland I., “On the variational principle”, J. Math. Anal. Appl., 47:2 (1974), 324–353 |
| 20. |
Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967 |
| 21. |
Plotnikov V. I., “Teoremy edinstvennosti, suschestvovaniya i apriornye svoistva obobschennykh reshenii”, DAN SSSR, 165:1 (1965), 33–35 |
| 22. |
Casas E., Raymond J.-P., Zidani H., “Pontryagin's principle for local solutions of control problems with mixed control-state constraints”, SIAM J. Control Optim., 39:4 (2000), 1182–1203 |
| 23. |
Sumin M. I., “Dvoistvennaya regulyarizatsiya i printsip maksimuma Pontryagina v zadache optimalnogo granichnogo upravleniya dlya parabolicheskogo uravneniya s nedifferentsiruemymi funktsionalami”, Tr. In-ta matem. i mekhan. UrO RAN, 17, no. 1, 2011, 229–244 |