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A note on the existence of an optimal capital accumulation in the continuous time horizon. (English) Zbl 0511.90038


MSC:

91B62 Economic growth models
90C90 Applications of mathematical programming
90C39 Dynamic programming
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[1] Brock, W. A., On existence of weakly maximal programmes in a multisector economy, Rev. Econ. Studies, 37, 275-280 (1970) · Zbl 0212.23901
[2] Brock, W. A.; Haurie, H., On existence of overtaking optimal trajectories over an infinite time horizon, Math. Operations Res., 1, 337-346 (1976) · Zbl 0367.49003
[3] Gale, D., On optimal development in a multi-sector economy, Rev. Econ. Studies, 34, 1-18 (1967)
[4] Kormogorov, A. N.; Fomin, S. V., Elements of the Theory of Functions and Functional Analysis (1968), Graylock: Graylock Bethesda, Maryland, (Trans. by Hyman and Komm)
[5] McKenzie, L. W., Turnpike theorems with technology and welfare function variable, (Land, J.; Los, M. W., Mathematical Models in Economics (1974), American Elsevier: American Elsevier New York) · Zbl 0318.90018
[6] McKenzie, L. W., Optimal Economic Growth and Turnpike Theorems, (University of Rochester Discussion Paper 79-1 (1979)), 1979
[8] Rockafellar, T., Saddle point of Hamiltonian systems in convex problems of Lagrange, J. Optimization Theory Appl, 12, 367-390 (1973) · Zbl 0248.49016
[9] Varaiya, A. F., On the trajectories of a differential system, (Balakrishnan, A. V.; Neustadt, L. W., Mathematical Theory of Control (1967), Academic Press: Academic Press New York)
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