The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives
Yazarlar (4)
Azerbaijan National Academy Of Sciences, Azerbaycan
Prof. Dr. Vagıf GULIYEV
Azerbaijan National Academy Of Sciences, Azerbaycan
Azerbaijan National Academy Of Sciences, Azerbaycan
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Computational and Applied Mathematics (Q1) | ||
| Dergi ISSN | 0377-0427 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2016 |
| Cilt / Sayı / Sayfa | 305 / 1 / 11–17 | DOI | 10.1016/j.cam.2016.03.024 |
| 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 a hyperbolic equation of the second order with L-p(x)-coefficients. The results can be used in the theory of optimal processes for distribution Pontryagin maximum principle for various controlled processes described by hyperbolic equations of second order with discontinuous coefficients in variable exponent Sobolev spaces with dominant mixed derivatives. (C) 2016 Elsevier B.V. All rights reserved. |
| Anahtar Kelimeler |
| Goursat problem | Optimal control | Pontryagin's maximum principle | Variable exponent Sobolev spaces with dominating mixed derivatives |