Problem of innovation diffusion: qualitative investigation and algorithmic aspect.
type: Item
instance of: scholarly article
title: Problem of innovation diffusion: qualitative investigation and algorithmic aspect.
zbMATH Open document ID: 1054.65063
author: S. N. Avvakumov
author: Yu. N. Kiselev
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2004-09-08T00:00:00Z
review text: The authors consider the following optimal control problem: \[ J(u)=\int_0^Te^{-\nu_2 t}(\ln x +g_2\ln(L-u))\, dt\to \max, \] \[ \dot x=u(x+g_1e^{\nu_1 t}),\quad x(0)=x_0,\, 0\leq u< L, \] arising in an economic dynamical problem and modeling innovation with diffusion. They suggest algorithms for the solution of this problem and also methods for constructing the attainability domain. Results of numerical experiments carried out in MAPLE are also presented.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 91B54
zbMATH DE Number: 2099451
zbMATH Keywords: optimal control
zbMATH Keywords: economics
zbMATH Keywords: numerical methods
zbMATH Keywords: innovation with diffusion
zbMATH Keywords: algorithms
zbMATH Keywords: numerical experiments
describes a project that uses: Maple
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2099451