Abstract
An n-dimensional problem of optimal economic growth in a multifactor model with the Cobb–Douglas production function and an integral-type functional with discounting is investigated. The model is studied by assuming that all amortization coefficients are equal. A constructive description of an optimal solution for a sufficiently large planning horizon and a sufficiently small discount coefficient is obtained. The extremal solution is described in analytical form. The studied problem with other production functions has a biological interpretation in an optimal growth model of agricultural plants with n vegetative organs during a specific finite time interval.
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Original Russian Text © Yu.N. Kiselev, M.V. Orlov, S.M. Orlov, 2017, published in Vestnik Moskovskogo Universiteta, Seriya 15: Vychislitel’naya Matematika i Kibernetika, 2017, No. 2, pp. 15–20.
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Kiselev, Y.N., Orlov, M.V. & Orlov, S.M. Optimal modes in a multidimensional model of economic growth. MoscowUniv.Comput.Math.Cybern. 41, 64–69 (2017). https://doi.org/10.3103/S0278641917020042
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DOI: https://doi.org/10.3103/S0278641917020042