A Class of Models Describing the Dynamics of Production and Infrastructure-Planning Indicators

被引：0
|
作者：
Kiselev Y.N. [1 ]
Orlov S.M. [1 ]
机构：
[1] Moscow State University, Moscow
来源：
Computational Mathematics and Modeling | 2015年 / 26卷 / 2期
关键词：
mathematical models of economic growth; optimal control; Pontryagin maximum principle; singular regimes;
D O I：
10.1007/s10598-015-9269-y
中图分类号：
学科分类号：
摘要：
The article investigates a modified model of economic growth—the “Rost” model. The growth dynamics is described by a nonlinear ordinary differential equation. The problem contains the parameter γ ∈ (0, 1). The case γ = 1/2 has been studied previously. The problem is solved by the Pontryagin maximum principle and by an alternative approach based on a special representation of the optimand functional and analysis of the functional-independent attainability set. The efficiency of various numerical methods to find the singular regime is analyzed. © 2015, Springer Science+Business Media New York.
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页码：213 / 243
页数：30
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