Investigating a two-sector model of economic growth with the Cobb-Douglas production function

被引：0
|
作者：
Kiselev U.N. [1 ]
Orlov M.V. [1 ]
机构：
[1] Faculty of Computational Mathematics and Cybernetics, Moscow State University
来源：
Moscow University Computational Mathematics and Cybernetics | 2010年 / 34卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
Cobb-Douglas production function; mathematical models; maximum principle boundary problem; optimum control; Pontryagin maximum principle; special modes; sufficient optimality conditions;
D O I：
10.3103/S0278641910020032
中图分类号：
学科分类号：
摘要：
The optimum solution to a two-sector model of economic growth with the Cobb-Douglas production function is described. One of the phase coordinates is maximized at the end point of time. The planning horizon is finite, fixed, and sufficiently large. The solution is based on the Pontryagin maximum principle, which contains the necessary optimality conditions. The optimality of an extreme solution developed on the basis of the maximum is determined. A constructive description of the optimum solution is suggested. © 2010 Allerton Press, Inc.
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页码：66 / 73
页数：7
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