Optimization of second order evolution differential inclusions problem with phase constraints

Gülseren Çiçek; Elimhan Mahmudov

doi:10.1063/1.5136128

Optimization of second order evolution differential inclusions problem with phase constraints

Gülseren Çiçek, Elimhan Mahmudov

Matematik Bölümü

Istanbul University

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

Özet

In this paper, we obtain optimality conditions for a problem of convex and non-convex second order evolution differential inclusions with phase constraints. Beginning with second order discrete inclusions problem, we derive necessary and sufficient optimality conditions for the discrete case. We use Locally Dual Mapping definition to derive necessary and sufficient conditions for the optimality of the discrete approximation problem. We prove equivalence theorems in order to obtain a relation between discrete approximation and continuous problems. Passing to the limit, sufficient conditions to the continuous optimal problem are established.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	3rd International Conference of Mathematical Sciences, ICMS 2019
Editörler	Huseyin Cakalli, Ljubisa D. R. Kocinac, Robin Harte, Valeria Neves Domingos Cavalcanti, Allaberen Ashyralyev, Izzet Sakalli, Ibrahim Canak, Ozay Gurtug, Marcelo Moreira Cavalcanti, Duran Turkoglu, Mujgan Tez, Hacer Sengul Kandemir, Sahin Uyaver, Kadri Ulas Akay, Ilhan Gul, Temha Erkoc Yilmazturk, Tugba Akyel, Filiz Cagatay Ucgun, Hakan Sahin
Yayınlayan	American Institute of Physics Inc.
ISBN (Elektronik)	9780735419308
DOI'lar	https://doi.org/10.1063/1.5136128
Yayın durumu	Yayınlandı - 6 Ara 2019
Etkinlik	3rd International Conference of Mathematical Sciences, ICMS 2019 - Istanbul, Turkey Süre: 4 Eyl 2019 → 8 Eyl 2019

Yayın serisi

Adı	AIP Conference Proceedings
Hacim	2183
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

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???event.eventtypes.event.conference???	3rd International Conference of Mathematical Sciences, ICMS 2019
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	4/09/19 → 8/09/19

Bibliyografik not

Publisher Copyright:
© 2019 Author(s).

Belgeye Erişim

10.1063/1.5136128

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Çiçek, G., & Mahmudov, E. (2019). Optimization of second order evolution differential inclusions problem with phase constraints. In H. Cakalli, L. D. R. Kocinac, R. Harte, V. N. D. Cavalcanti, A. Ashyralyev, I. Sakalli, I. Canak, O. Gurtug, M. M. Cavalcanti, D. Turkoglu, M. Tez, H. S. Kandemir, S. Uyaver, K. U. Akay, I. Gul, T. E. Yilmazturk, T. Akyel, F. C. Ucgun, & H. Sahin (Eds.), 3rd International Conference of Mathematical Sciences, ICMS 2019 Makale 040008 (AIP Conference Proceedings; Hac. 2183). American Institute of Physics Inc.. https://doi.org/10.1063/1.5136128

Çiçek, Gülseren ; Mahmudov, Elimhan. / Optimization of second order evolution differential inclusions problem with phase constraints. 3rd International Conference of Mathematical Sciences, ICMS 2019. editör / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Robin Harte ; Valeria Neves Domingos Cavalcanti ; Allaberen Ashyralyev ; Izzet Sakalli ; Ibrahim Canak ; Ozay Gurtug ; Marcelo Moreira Cavalcanti ; Duran Turkoglu ; Mujgan Tez ; Hacer Sengul Kandemir ; Sahin Uyaver ; Kadri Ulas Akay ; Ilhan Gul ; Temha Erkoc Yilmazturk ; Tugba Akyel ; Filiz Cagatay Ucgun ; Hakan Sahin. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

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title = "Optimization of second order evolution differential inclusions problem with phase constraints",

abstract = "In this paper, we obtain optimality conditions for a problem of convex and non-convex second order evolution differential inclusions with phase constraints. Beginning with second order discrete inclusions problem, we derive necessary and sufficient optimality conditions for the discrete case. We use Locally Dual Mapping definition to derive necessary and sufficient conditions for the optimality of the discrete approximation problem. We prove equivalence theorems in order to obtain a relation between discrete approximation and continuous problems. Passing to the limit, sufficient conditions to the continuous optimal problem are established.",

keywords = "evolution, Locally dual mapping, Second order differential inclusion",

author = "G{\"u}lseren {\c C}i{\c c}ek and Elimhan Mahmudov",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).; 3rd International Conference of Mathematical Sciences, ICMS 2019 ; Conference date: 04-09-2019 Through 08-09-2019",

year = "2019",

month = dec,

day = "6",

doi = "10.1063/1.5136128",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Robin Harte and Cavalcanti, {Valeria Neves Domingos} and Allaberen Ashyralyev and Izzet Sakalli and Ibrahim Canak and Ozay Gurtug and Cavalcanti, {Marcelo Moreira} and Duran Turkoglu and Mujgan Tez and Kandemir, {Hacer Sengul} and Sahin Uyaver and Akay, {Kadri Ulas} and Ilhan Gul and Yilmazturk, {Temha Erkoc} and Tugba Akyel and Ucgun, {Filiz Cagatay} and Hakan Sahin",

booktitle = "3rd International Conference of Mathematical Sciences, ICMS 2019",

}

Çiçek, G & Mahmudov, E 2019, Optimization of second order evolution differential inclusions problem with phase constraints. in H Cakalli, LDR Kocinac, R Harte, VND Cavalcanti, A Ashyralyev, I Sakalli, I Canak, O Gurtug, MM Cavalcanti, D Turkoglu, M Tez, HS Kandemir, S Uyaver, KU Akay, I Gul, TE Yilmazturk, T Akyel, FC Ucgun & H Sahin (eds), 3rd International Conference of Mathematical Sciences, ICMS 2019., 040008, AIP Conference Proceedings, hac. 2183, American Institute of Physics Inc., 3rd International Conference of Mathematical Sciences, ICMS 2019, Istanbul, Turkey, 4/09/19. https://doi.org/10.1063/1.5136128

Optimization of second order evolution differential inclusions problem with phase constraints. / Çiçek, Gülseren; Mahmudov, Elimhan.
3rd International Conference of Mathematical Sciences, ICMS 2019. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Robin Harte; Valeria Neves Domingos Cavalcanti; Allaberen Ashyralyev; Izzet Sakalli; Ibrahim Canak; Ozay Gurtug; Marcelo Moreira Cavalcanti; Duran Turkoglu; Mujgan Tez; Hacer Sengul Kandemir; Sahin Uyaver; Kadri Ulas Akay; Ilhan Gul; Temha Erkoc Yilmazturk; Tugba Akyel; Filiz Cagatay Ucgun; Hakan Sahin. American Institute of Physics Inc., 2019. 040008 (AIP Conference Proceedings; Hac. 2183).

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

TY - GEN

T1 - Optimization of second order evolution differential inclusions problem with phase constraints

AU - Çiçek, Gülseren

AU - Mahmudov, Elimhan

PY - 2019/12/6

Y1 - 2019/12/6

N2 - In this paper, we obtain optimality conditions for a problem of convex and non-convex second order evolution differential inclusions with phase constraints. Beginning with second order discrete inclusions problem, we derive necessary and sufficient optimality conditions for the discrete case. We use Locally Dual Mapping definition to derive necessary and sufficient conditions for the optimality of the discrete approximation problem. We prove equivalence theorems in order to obtain a relation between discrete approximation and continuous problems. Passing to the limit, sufficient conditions to the continuous optimal problem are established.

AB - In this paper, we obtain optimality conditions for a problem of convex and non-convex second order evolution differential inclusions with phase constraints. Beginning with second order discrete inclusions problem, we derive necessary and sufficient optimality conditions for the discrete case. We use Locally Dual Mapping definition to derive necessary and sufficient conditions for the optimality of the discrete approximation problem. We prove equivalence theorems in order to obtain a relation between discrete approximation and continuous problems. Passing to the limit, sufficient conditions to the continuous optimal problem are established.

KW - evolution

KW - Locally dual mapping

KW - Second order differential inclusion

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U2 - 10.1063/1.5136128

DO - 10.1063/1.5136128

M3 - Conference contribution

AN - SCOPUS:85076676985

T3 - AIP Conference Proceedings

BT - 3rd International Conference of Mathematical Sciences, ICMS 2019

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Harte, Robin

A2 - Cavalcanti, Valeria Neves Domingos

A2 - Ashyralyev, Allaberen

A2 - Sakalli, Izzet

A2 - Canak, Ibrahim

A2 - Gurtug, Ozay

A2 - Cavalcanti, Marcelo Moreira

A2 - Turkoglu, Duran

A2 - Tez, Mujgan

A2 - Kandemir, Hacer Sengul

A2 - Uyaver, Sahin

A2 - Akay, Kadri Ulas

A2 - Gul, Ilhan

A2 - Yilmazturk, Temha Erkoc

A2 - Akyel, Tugba

A2 - Ucgun, Filiz Cagatay

A2 - Sahin, Hakan

PB - American Institute of Physics Inc.

T2 - 3rd International Conference of Mathematical Sciences, ICMS 2019

Y2 - 4 September 2019 through 8 September 2019

ER -

Çiçek G, Mahmudov E. Optimization of second order evolution differential inclusions problem with phase constraints. In Cakalli H, Kocinac LDR, Harte R, Cavalcanti VND, Ashyralyev A, Sakalli I, Canak I, Gurtug O, Cavalcanti MM, Turkoglu D, Tez M, Kandemir HS, Uyaver S, Akay KU, Gul I, Yilmazturk TE, Akyel T, Ucgun FC, Sahin H, editörler, 3rd International Conference of Mathematical Sciences, ICMS 2019. American Institute of Physics Inc. 2019. 040008. (AIP Conference Proceedings). doi: 10.1063/1.5136128

Optimization of second order evolution differential inclusions problem with phase constraints

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