ON THE REPRESENTATION OF ELECTROMAGNETIC FIELDS IN CLOSED WAVEGUIDES USING FOUR SCALAR POTENTIALS
Article
Journal of Electromagnetic Waves and Applications.
Taylor and Francis Ltd..
Vol. 32.
2018.
P. 886-898
Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces
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. © 2018 Springer Science+Business Media, LLC, part of Springer Nature
Authors
Bandaliyev R.A.
1,
2
,
Guliyev V.S.
1,
2,
3
,
Mamedov I.G.4
,
Rustamov Y.I.4
Publisher
Kluwer Academic Publishers-Plenum Publishers
Language
English
Pages
1-18
Status
Published
Link
Year
2018
Organizations
- 1 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
- 2 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
- 3 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
- 4 Institute of Control Systems of NAS of Azerbaijan, Baku, Azerbaijan
Keywords
3D optimal control; Bianchi equation; Goursat problem; Pontryagin’s maximum principle; Variable exponent Sobolev spaces
Date of creation
19.10.2018
Date of change
19.10.2018
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Other records
International Journal of Environmental Analytical Chemistry.
Taylor and Francis Ltd..
Vol. 98.
2018.
P. 520-535