ON THE SOLUTIONS OF THE LUCAS-UZAWA MODEL

DOI10.3846/mma.2019.009zbMath1478.34055arXiv1907.12658OpenAlexW2907999932MaRDI QIDQ4959430

Constantin Chilařescu

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12658

zbMATH Keywords

uniqueness of solutionspartial Hamiltonian approachLucas-Uzawa model

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Economic growth models (91B62) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Steady-state invariance in high-order Runge-Kutta discretization of optimal growth models
• A note on the closed-form solution to the Lucas-Uzawa model with externality
• Closed-form solutions for the Lucas-Uzawa model of economic growth via the partial Hamiltonian approach
• A partial Hamiltonian approach for current value Hamiltonian systems
• Special functions for the study of economic dynamics: the case of the Lucas-Uzawa model
• COMPARISON OF CLOSED-FORM SOLUTIONS FOR THE LUCAS-UZAWA MODEL VIA THE PARTIAL HAMILTONIAN APPROACH AND THE CLASSICAL APPROACH
• Optimum Technical Change in An Aggregative Model of Economic Growth

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