Existence of solutions of Hamiltonian dynamical systems of economic growth with Marxian savings hypothesis

DOI10.1016/0022-0531(80)90027-7zbMath0446.90014OpenAlexW2043181604MaRDI QIDQ1146102

Robert E. Gaines

Publication date: 1980

Published in: Journal of Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0531(80)90027-7

zbMATH Keywords

economic growthtopological degreecontinuation theoremHamiltonian dynamical systemsexistence proofMarxian savings hypothesissolution condition

Mathematics Subject Classification ID

Economic growth models (91B62)

Related Items (2)

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

Cites Work

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• Ordinary differential equations with nonlinear boundary conditions
• Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate
• Global asymptotic stability of optimal control systems with applications to the theory of economic growth
• The structure and stability of competitive dynamical systems
• Existence of solutions to Hamiltonian dynamical systems of optimal growth
• Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth
• A local analysis of N-sector capital accumulation under uncertainty
• Equilibrium Dynamics with Heterogeneous Capital Goods
• An Exercise in the Theory of Heterogeneous Capital Accumulation

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