Yazarlar |
Prof. Dr. Nigar YILDIRIM AKSOY
Kafkas Üniversitesi, Türkiye |
Ercan Çelik
Kırgızistan-Türkiye Manas Üniversitesi, Türkiye |
Muhammed Emin Dadas
Türkiye |
Özet |
In this paper, we analyze the solvability of the optimal control problem for a nonlinear Schr"{o}dinger equation. A Lions-type functional is considered as the objective functional. First, it is shown that the optimal control problem has at least one solution. Later, the Frechet differentiability of the objective functional is proved and a formula is obtained for its gradient. Finally, a necessary optimality condition is derived. |
Anahtar Kelimeler |
Optimal control problem | Schrodinger equation | Frechet differentiability | Optimality conditions |
Makale Türü | Özgün Makale |
Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
Dergi Adı | INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA |
Dergi ISSN | 2146-0957 |
Dergi Tarandığı Indeksler | Emerging Sources Citation Index (ESCI), Scopus - Applied Mathematics, Zentralblatt MATH, ProQuest, MathSciNet, TR Dizin - Ulakbim (Science Database), Directory of Open Access Journals (DOAJ) |
Makale Dili | İngilizce |
Basım Tarihi | 01-2023 |
Cilt No | 13 |
Sayı | 2 |
Sayfalar | 269 / 276 |
Doi Numarası | 10.11121/ijocta.2023.1371 |
Makale Linki | http://dx.doi.org/10.11121/ijocta.2023.1371 |
Atıf Sayıları | |
WoS | 1 |
TRDizin | 1 |