ON GROUP ANALYSIS of OPTIMAL CONTROL PROBLEMS in ECONOMIC GROWTH MODELS

GUlden GUn Polat, Teoman Ozer*

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2 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 dilİngilizce
Sayfa (başlangıç-bitiş)2853-2876
Sayfa sayısı24
DergiDiscrete and Continuous Dynamical Systems - Series S
Hacim13
Basın numarası10
DOI'lar
Yayın durumuYayınlandı - Eki 2020

Bibliyografik not

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

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