Optimization in a vintage capital model with piecewise linear cost function

被引：3

作者：

Hritonenko, Natali

Yatsenko, Yuri

机构：

[1] Prairie View A&M Univ, Dept Math, Prairie View, TX 77446 USA

[2] Houston Baptist Univ, Coll Business & Econ, Houston, TX 77074 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 65卷 / 12期

关键词：

optimal control; nonlinear volterra integral equations; vintage capital models; capital lifetime;

D O I：

10.1016/j.na.2006.02.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper investigates a nonlinear optimal control problem for the Volterra integral equations with an unknown function in the lower limit of integration. The applied interpretation of the problem consists of the optimal renovation of vintage capital under the embodied technological change. An explicit solution is constructed and its properties are analyzed in the case of a nonlinear revenue dependence on product output. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2302 / 2310

页数：9

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