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The solvability of the optimal control problem for a nonlinear Schrödinger equation    
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 and Applications
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 07-2023
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 1
The solvability of the optimal control problem for a nonlinear Schrödinger equation

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