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

Özkan Deger; Elimhan N. Mahmudov; Dilara I. Mastaliyeva

doi:10.1063/5.0175894

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

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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: ???type-name??? › Konferans katkısı › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	AIP Conference Proceedings
Editörler	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
Yayınlayan	American Institute of Physics Inc.
Baskı	1
ISBN (Elektronik)	9780735446953
DOI'lar	https://doi.org/10.1063/5.0175894
Yayın durumu	Yayınlandı - 9 Eki 2023
Etkinlik	6th International Conference of Mathematical Sciences, ICMS 2022 - Hybrid, Istanbul, Turkey Süre: 20 Tem 2022 → 24 Tem 2022

Yayın serisi

Adı	AIP Conference Proceedings
Sayı	1
Hacim	2879
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	6th International Conference of Mathematical Sciences, ICMS 2022
Ülke/Bölge	Turkey
Şehir	Hybrid, Istanbul
Periyot	20/07/22 → 24/07/22

Bibliyografik not

Publisher Copyright:
© 2023 Author(s).

Belgeye Erişim

10.1063/5.0175894

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Deger, Ö., Mahmudov, E. N., & Mastaliyeva, D. I. (2023). Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, G. Ozay, E. Savas, N. D. Aral, F. C. Ucgun, C. Ashyralyyev, & K. U. Akay (Eds.), AIP Conference Proceedings (1 ed.). Makale 030001 (AIP Conference Proceedings; Hac. 2879, No. 1). American Institute of Physics Inc.. https://doi.org/10.1063/5.0175894

Deger, Özkan ; Mahmudov, Elimhan N. ; Mastaliyeva, Dilara I. / Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion. AIP Conference Proceedings. editör / 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. 1. ed. American Institute of Physics Inc., 2023. (AIP Conference Proceedings; 1).

@inproceedings{e1cb0268582643c0bf55979346cf4a25,

title = "Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion",

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.",

author = "{\"O}zkan Deger and Mahmudov, {Elimhan N.} and Mastaliyeva, {Dilara I.}",

note = "Publisher Copyright: {\textcopyright} 2023 Author(s).; 6th International Conference of Mathematical Sciences, ICMS 2022 ; Conference date: 20-07-2022 Through 24-07-2022",

year = "2023",

month = oct,

day = "9",

doi = "10.1063/5.0175894",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

number = "1",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Allaberen Ashyralyev and Robin Harte and Mehmet Dik and Ibrahim Canak and Kandemir, {Hacer Sengul} and Mujgan Tez and Gurtug Ozay and Ekrem Savas and Aral, {Nazlim Deniz} and Ucgun, {Filiz Cagatay} and Charyyar Ashyralyyev and Akay, {Kadri Ulas}",

booktitle = "AIP Conference Proceedings",

edition = "1",

}

Deger, Ö, Mahmudov, EN & Mastaliyeva, DI 2023, Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, G Ozay, E Savas, ND Aral, FC Ucgun, C Ashyralyyev & KU Akay (eds), AIP Conference Proceedings. 1 edn, 030001, AIP Conference Proceedings, no. 1, hac. 2879, American Institute of Physics Inc., 6th International Conference of Mathematical Sciences, ICMS 2022, Hybrid, Istanbul, Turkey, 20/07/22. https://doi.org/10.1063/5.0175894

Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion. / Deger, Özkan; Mahmudov, Elimhan N.; Mastaliyeva, Dilara I.
AIP Conference Proceedings. ed. / 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. 1. ed. American Institute of Physics Inc., 2023. 030001 (AIP Conference Proceedings; Hac. 2879, No. 1).

Araştırma sonucu: ???type-name??? › Konferans katkısı › bilirkişi

TY - GEN

T1 - Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion

AU - Deger, Özkan

AU - Mahmudov, Elimhan N.

AU - Mastaliyeva, Dilara I.

PY - 2023/10/9

Y1 - 2023/10/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85177674254&partnerID=8YFLogxK

U2 - 10.1063/5.0175894

DO - 10.1063/5.0175894

M3 - Conference contribution

AN - SCOPUS:85177674254

T3 - AIP Conference Proceedings

BT - AIP Conference Proceedings

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Ashyralyev, Allaberen

A2 - Harte, Robin

A2 - Dik, Mehmet

A2 - Canak, Ibrahim

A2 - Kandemir, Hacer Sengul

A2 - Tez, Mujgan

A2 - Ozay, Gurtug

A2 - Savas, Ekrem

A2 - Aral, Nazlim Deniz

A2 - Ucgun, Filiz Cagatay

A2 - Ashyralyyev, Charyyar

A2 - Akay, Kadri Ulas

PB - American Institute of Physics Inc.

T2 - 6th International Conference of Mathematical Sciences, ICMS 2022

Y2 - 20 July 2022 through 24 July 2022

ER -

Deger Ö, Mahmudov EN, Mastaliyeva DI. Optimization of semilinear third-order delay-differential inclusions using the adjoint Mahmudov inclusion. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Ozay G, Savas E, Aral ND, Ucgun FC, Ashyralyyev C, Akay KU, editörler, AIP Conference Proceedings. 1 ed. American Institute of Physics Inc. 2023. 030001. (AIP Conference Proceedings; 1). doi: 10.1063/5.0175894

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

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