Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion

Özkan Deger*, Elimhan N. Mahmudov, Dilara I. Mastaliyeva

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish
Title of host publicationAIP Conference Proceedings
EditorsHuseyin 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
PublisherAmerican Institute of Physics Inc.
Edition1
ISBN (Electronic)9780735446953
DOIs
Publication statusPublished - 9 Oct 2023
Event6th International Conference of Mathematical Sciences, ICMS 2022 - Hybrid, Istanbul, Turkey
Duration: 20 Jul 202224 Jul 2022

Publication series

NameAIP Conference Proceedings
Number1
Volume2879
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference6th International Conference of Mathematical Sciences, ICMS 2022
Country/TerritoryTurkey
CityHybrid, Istanbul
Period20/07/2224/07/22

Bibliographical note

Publisher Copyright:
© 2023 Author(s).

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