Abstract
The paper investigates the optimization of third-order retarded differential inclusions (DFIs). In terms of the Euler-Lagrange type adjoint DFIs and Hamiltonian, a sufficient optimality condition for third-order DFIs is derived, which have different forms in different time intervals depending on the delay parameter, and in the problem without delay effect these two adjoint DFIs coincide. At the same time, when constructing the Euler-Lagrange type adjoint DFI, without using traditional approaches to constructing an adjoint operator and a discrete-approximate method, the new method of adjoint DFI of Mahmudov for "third-order problems"is used.
Original language | English |
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Title of host publication | AIP Conference Proceedings |
Editors | Huseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Gurtug Ozay, Ekrem Savas, Nazlim Deniz Aral, Filiz Cagatay Ucgun, Charyyar Ashyralyyev, Kadri Ulas Akay |
Publisher | American Institute of Physics Inc. |
Edition | 1 |
ISBN (Electronic) | 9780735446953 |
DOIs | |
Publication status | Published - 9 Oct 2023 |
Event | 6th International Conference of Mathematical Sciences, ICMS 2022 - Hybrid, Istanbul, Turkey Duration: 20 Jul 2022 → 24 Jul 2022 |
Publication series
Name | AIP Conference Proceedings |
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Number | 1 |
Volume | 2879 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference
Conference | 6th International Conference of Mathematical Sciences, ICMS 2022 |
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Country/Territory | Turkey |
City | Hybrid, Istanbul |
Period | 20/07/22 → 24/07/22 |
Bibliographical note
Publisher Copyright:© 2023 Author(s).