| dc.contributor.author | Bandaliyev, R. A. | |
| dc.contributor.author | Guliyev, V. S. | |
| dc.contributor.author | Mamedov, I. G. | |
| dc.contributor.author | Sadigov, A. B. | |
| dc.date.accessioned | 2019-11-24T20:57:35Z | |
| dc.date.available | 2019-11-24T20:57:35Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.cam.2016.03.024 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2722 | |
| dc.description | WOS: 000376798700002 | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.sponsorship | Presidium Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) | en_US |
| dc.description.sponsorship | 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. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | ELSEVIER SCIENCE BV | en_US |
| dc.relation.isversionof | 10.1016/j.cam.2016.03.024 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Optimal control | en_US |
| dc.subject | Pontryagin's maximum principle | en_US |
| dc.subject | Goursat problem | en_US |
| dc.subject | Variable exponent Sobolev spaces with dominating mixed derivatives | en_US |
| dc.title | 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 | en_US |
| dc.type | article | en_US |
| dc.relation.journal | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 305 | en_US |
| dc.identifier.startpage | 11 | en_US |
| dc.identifier.endpage | 17 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
