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Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces    
Yazarlar
Rovshan A. Bandaliyev
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Ilgar G. Mamedov
Yasin I. Rustamov
Özet
In this paper, a necessary and sufficient condition, such as the Pontryagin's maximum principle for an optimal control problem with distributed parameters, is given by the third-order Bianchi equation with coefficients from variable exponent Lebesgue spaces. The statement of an optimal control problem is studied by using a new version of the increment method that essentially uses the concept of the adjoint equation of the integral form.
Anahtar Kelimeler
3D optimal control | Bianchi equation | Goursat problem | Pontryagin’s maximum principle | Variable exponent Sobolev spaces
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Dergi ISSN 0022-3239
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 01-2019
Cilt No 180
Sayı 1
Sayfalar 303 / 320
Doi Numarası 10.1007/s10957-018-1290-9