Abstract
Makalede gecikmeli diskret içermeler için kısıtlamalı değişken yapılı ekstremum problemi araştırılmaktadır. Ele aldığımız problem için gerekli ekstremum koşulları bulunmuştur. Anahtar Kelimeler: Diskret İçerme; Gerek Ekstremum Koşulu, Altdiferansiyel, Lipschitz Koşulu, Teğet Koni, Hiperteğet Koni
Keywords
Diskret İçerme Gerek Ekstremum Koşulu Altdiferansiyel Lipschitz Koşulu Teğet Koni Hiperteğet Koni
References
- AUBIN, J.P., EKELAND, I. (1984). Applied Nonlinear Analysis. New York: Viley, 510 p.
- BOLTYANSKIY, V.G. (1975). The methods of tents in the theory of extremal problems. Uspekhi Mathem.Nauk, 30(3), pp. 3-55
- BORISOVICH, YU.G., GELMAN, B.D., MISHKINS, A.D., OBUKHOVSKIY, V.V. (1986). Introduction to theory of multivalued mappings. Voronej: Voronej University Publisher, 103 p.
- CLARKE, F.H.(1988). Optimization and nonsmooth analysis. Moscow: Nauka, 279p.
- GIRSANOV, I.V. (1970). Lecture of mathematical theory of extremal problems. MGU, 118 p.
- MIRZAYEVA, H.G. (2007). The optimal control problems with discrete time delay. News of Baku State University, physico-mathematical sciences series, № 2, pp. 44-50.
- MIRZAYEVA, H.G., SADYGOV, A.M. (2007). Extremum problems for delay discrete inclusions with variable structure. Transactions NAS Azerbaijan, series of physical tech. and math. sciences, 27(4), pp. 67-72
- MIRZAYEVA, H.G., SADYGOV, M.A. (2005). Optimal control of discrete difference inclusions. Transactions NAS Azerbaijan. 25(7), pp. 89-94
- MIRZAYEVA, H.G., SADYGOV, M.A. (2006). The optimal control of the discrete inclusions with delay. Baku: An International Journal “Applied and Computational Mathematics”, 5(1), pp. 106-112
- ROCKAFELLAR, R.T., WETS ROGER J-B.(1998). Variational Analysis. Springer, 733p.
- SADYGOV, M.A.(2007). On characterization of solutions of discrete and differential inclusions. Preprint. Baku: 59 p.
Abstract
The paper considers a variable structure extremum problem with constraints for delay discrete inclusions. The necessary extremum conditions are obtained for the considered problem. Keywords: Discrete Inclusion; Necessary Extremum Condition; Subdifferential; Lipschitz Condition; Tangent Cone; Hypertangent cone
Keywords
Discrete Inclusion Necessary Extremum Condition Subdifferential Lipschitz Condition Tangent Cone Hypertangent cone
References
- AUBIN, J.P., EKELAND, I. (1984). Applied Nonlinear Analysis. New York: Viley, 510 p.
- BOLTYANSKIY, V.G. (1975). The methods of tents in the theory of extremal problems. Uspekhi Mathem.Nauk, 30(3), pp. 3-55
- BORISOVICH, YU.G., GELMAN, B.D., MISHKINS, A.D., OBUKHOVSKIY, V.V. (1986). Introduction to theory of multivalued mappings. Voronej: Voronej University Publisher, 103 p.
- CLARKE, F.H.(1988). Optimization and nonsmooth analysis. Moscow: Nauka, 279p.
- GIRSANOV, I.V. (1970). Lecture of mathematical theory of extremal problems. MGU, 118 p.
- MIRZAYEVA, H.G. (2007). The optimal control problems with discrete time delay. News of Baku State University, physico-mathematical sciences series, № 2, pp. 44-50.
- MIRZAYEVA, H.G., SADYGOV, A.M. (2007). Extremum problems for delay discrete inclusions with variable structure. Transactions NAS Azerbaijan, series of physical tech. and math. sciences, 27(4), pp. 67-72
- MIRZAYEVA, H.G., SADYGOV, M.A. (2005). Optimal control of discrete difference inclusions. Transactions NAS Azerbaijan. 25(7), pp. 89-94
- MIRZAYEVA, H.G., SADYGOV, M.A. (2006). The optimal control of the discrete inclusions with delay. Baku: An International Journal “Applied and Computational Mathematics”, 5(1), pp. 106-112
- ROCKAFELLAR, R.T., WETS ROGER J-B.(1998). Variational Analysis. Springer, 733p.
- SADYGOV, M.A.(2007). On characterization of solutions of discrete and differential inclusions. Preprint. Baku: 59 p.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | July 1, 2010 |
| Published in Issue | Year 2010 Volume: 11 Issue: 2 |