Existence of aperiodic time-dependent solutions in optimal growth economy with three sectors

DOI10.1080/00207728908910275zbMath0683.90017OpenAlexW2151923372MaRDI QIDQ4733647

Wei-Bin Zhang

Publication date: 1989

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728908910275

zbMATH Keywords

optimal economic growthcomplex conjugate eigenvaluesexistence of aperiodic time-dependent solutions

Mathematics Subject Classification ID

Economic growth models (91B62) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

• Competitive equilibrium cycles
• Oscillations in optimal growth models
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• Existence of solutions of Hamiltonian dynamical systems of economic growth with Marxian savings hypothesis
• Bifurcation from multiple complex eigenvalues
• Global asymptotic stability of optimal control systems with applications to the theory of economic growth
• The structure and stability of competitive dynamical systems
• Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth
• Some new results on the local stability of the process of capital accumulation
• On Endogenous Competitive Business Cycles
• Smoothness, Comparative Dynamics, and the Turnpike Property
• Stability of Separable Hamiltonians and Investment Theory