On ramsey dynamical model and closed-form solutions

Gülden Gün Polat, Teoman Özer*

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1 Atıf (Scopus)

Özet

This study focuses on the analysis of Ramsey dynamical model with current Hamiltonian defining an optimal control problem in a neoclassical growth model by utilizing Lie group theory. Lie point symmetries of coupled nonlinear first-order ordinary differential equations corresponding to first-order conditions of maximum principle are analyzed and then first integrals and corresponding closed-form (analytical) solutions are determined by using Lie point symmetries in conjunction with Prelle-Singer and Jacobi last multiplier methods. Additionally, associated λ-symmetries, adjoint symmetries, Darboux polynomials, and the properties of the model are represented.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)209-218
Sayfa sayısı10
DergiJournal of Nonlinear Mathematical Physics
Hacim28
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - Haz 2021

Bibliyografik not

Publisher Copyright:
© 2021 The Authors. Published by Atlantis Press B.V.

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