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
| Autor: | Ilgar G. Mamedov, Rovshan A. Bandaliyev, A.B. Sadigov, Vagif S. Guliyev |
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| Přispěvatelé: | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü |
| Rok vydání: | 2016 |
| Předmět: |
Goursat problem
0209 industrial biotechnology Variable exponent Applied Mathematics 010102 general mathematics Mathematical analysis Pontryagin's maximum principle Variable exponent Sobolev spaces with dominating mixed derivatives 02 engineering and technology Optimal control Computer Science::Digital Libraries 01 natural sciences Pontryagin's minimum principle Sobolev space Computational Mathematics 020901 industrial engineering & automation Maximum principle 0101 mathematics Hyperbolic partial differential equation Hamiltonian (control theory) Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 305:11-17 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2016.03.024 |
| Popis: | WOS: 000376798700002 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. Presidium Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) The authors would like to express their gratitude to the referee for his/her very valuable comments and suggestions. The research of R. Bandaliyev and V. Guliyev was partially supported by the grant of Presidium Azerbaijan National Academy of Science 2015. |
| Databáze: | OpenAIRE |
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