ON GROUP ANALYSIS of OPTIMAL CONTROL PROBLEMS in ECONOMIC GROWTH MODELS

GUlden GUn Polat; Teoman Ozer

doi:10.3934/dcdss.2020215

ON GROUP ANALYSIS of OPTIMAL CONTROL PROBLEMS in ECONOMIC GROWTH MODELS

GUlden GUn Polat, Teoman Ozer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Istanbul Kultur University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Atıf (Scopus)

Özet

The optimal control problems in economic growth theory are analyzed by considering the Pontryagin's maximum principle for both current and present value Hamiltonian functions based on the theory of Lie groups. As a result of these necessary conditions, two coupled first-order differential equations are obtained for two different economic growth models. The first integrals and the analytical solutions (closed-form solutions) of two different economic growth models are analyzed via the group theory including Lie point symmetries, Jacobi last multiplier, Prelle-Singer method,_-symmetry and the mathematical relations among them.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	2853-2876
Sayfa sayısı	24
Dergi	Discrete and Continuous Dynamical Systems - Series S
Hacim	13
Basın numarası	10
DOI'lar	https://doi.org/10.3934/dcdss.2020215
Yayın durumu	Yayınlandı - Eki 2020

Bibliyografik not

Publisher Copyright:
© 2020 American Institute of Mathematical Sciences. All rights reserved.

Belgeye Erişim

10.3934/dcdss.2020215

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "ON GROUP ANALYSIS of OPTIMAL CONTROL PROBLEMS in ECONOMIC GROWTH MODELS",

abstract = "The optimal control problems in economic growth theory are analyzed by considering the Pontryagin's maximum principle for both current and present value Hamiltonian functions based on the theory of Lie groups. As a result of these necessary conditions, two coupled first-order differential equations are obtained for two different economic growth models. The first integrals and the analytical solutions (closed-form solutions) of two different economic growth models are analyzed via the group theory including Lie point symmetries, Jacobi last multiplier, Prelle-Singer method,_-symmetry and the mathematical relations among them.",

keywords = "Closed-form solutions, Jacobi last multipliers, Lie point symmetries, Optimal control, _-symmetries",

author = "Polat, {GUlden GUn} and Teoman Ozer",

year = "2020",

month = oct,

doi = "10.3934/dcdss.2020215",

language = "English",

volume = "13",

pages = "2853--2876",

journal = "Discrete and Continuous Dynamical Systems - Series S",

issn = "1937-1632",

publisher = "American Institute of Mathematical Sciences",

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TY - JOUR

T1 - ON GROUP ANALYSIS of OPTIMAL CONTROL PROBLEMS in ECONOMIC GROWTH MODELS

AU - Polat, GUlden GUn

AU - Ozer, Teoman

PY - 2020/10

Y1 - 2020/10

N2 - The optimal control problems in economic growth theory are analyzed by considering the Pontryagin's maximum principle for both current and present value Hamiltonian functions based on the theory of Lie groups. As a result of these necessary conditions, two coupled first-order differential equations are obtained for two different economic growth models. The first integrals and the analytical solutions (closed-form solutions) of two different economic growth models are analyzed via the group theory including Lie point symmetries, Jacobi last multiplier, Prelle-Singer method,_-symmetry and the mathematical relations among them.

AB - The optimal control problems in economic growth theory are analyzed by considering the Pontryagin's maximum principle for both current and present value Hamiltonian functions based on the theory of Lie groups. As a result of these necessary conditions, two coupled first-order differential equations are obtained for two different economic growth models. The first integrals and the analytical solutions (closed-form solutions) of two different economic growth models are analyzed via the group theory including Lie point symmetries, Jacobi last multiplier, Prelle-Singer method,_-symmetry and the mathematical relations among them.

KW - Closed-form solutions

KW - Jacobi last multipliers

KW - Lie point symmetries

KW - Optimal control

KW - _-symmetries

UR - http://www.scopus.com/inward/record.url?scp=85088250829&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2020215

DO - 10.3934/dcdss.2020215

M3 - Article

AN - SCOPUS:85088250829

SN - 1937-1632

VL - 13

SP - 2853

EP - 2876

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 10

ER -

ON GROUP ANALYSIS of OPTIMAL CONTROL PROBLEMS in ECONOMIC GROWTH MODELS

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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