Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces
    
Yazarlar (4)
Rovshan A. Bandaliyev
Azerbaijan National Academy Of Sciences, Azerbaycan
Prof. Dr. Vagıf GULIYEV Azerbaijan National Academy Of Sciences, Azerbaycan
Ilgar G. Mamedov
Azerbaijan National Academy Of Sciences, Azerbaycan
Yasin I. Rustamov
Azerbaijan National Academy Of Sciences, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Optimization Theory and Applications (Q2)
Dergi ISSN 0022-3239 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2019
Cilt / Sayı / Sayfa 180 / 1 / 303–320 DOI 10.1007/s10957-018-1290-9
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