| dc.contributor.author | Bandaliyev, Rovshan A. | |
| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Mamedov, Ilgar G. | |
| dc.contributor.author | Rustamov, Yasin I. | |
| dc.date.accessioned | 2019-11-24T20:39:17Z | |
| dc.date.available | 2019-11-24T20:39:17Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0022-3239 | |
| dc.identifier.issn | 1573-2878 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/s10957-018-1290-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2656 | |
| dc.description | WOS: 000456255600016 | 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 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. | en_US |
| dc.description.sponsorship | Ministry of Education and Science of the Russian FederationMinistry of Education and Science, Russian Federation [02.a03.21.0008]; Presidium of Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) | en_US |
| dc.description.sponsorship | The authors thank the anonymous reviewers for their careful reading of our manuscript and their valuable comments and suggestions, which helped to improve the manuscript. The research of R. Bandaliyev and V.S. Guliyev was partially supported by the Ministry of Education and Science of the Russian Federation (the Agreement number: 02.a03.21.0008) and by the Grant of Presidium of Azerbaijan National Academy of Science 2015. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGER/PLENUM PUBLISHERS | en_US |
| dc.relation.isversionof | 10.1007/s10957-018-1290-9 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | 3D optimal control | en_US |
| dc.subject | Pontryagin's maximum principle | en_US |
| dc.subject | Bianchi equation | en_US |
| dc.subject | Goursat problem | en_US |
| dc.subject | Variable exponent Sobolev spaces | en_US |
| dc.subject | 37D30 | en_US |
| dc.subject | 49B20 | en_US |
| dc.subject | 49K20 | en_US |
| dc.title | Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces | en_US |
| dc.type | article | en_US |
| dc.relation.journal | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 180 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 303 | en_US |
| dc.identifier.endpage | 320 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
