caa a22 4500 606217428 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10598-015-9269-y doi (NATIONALLICENCE)springer-10.1007/s10598-015-9269-y A Class of Models Describing the Dynamics of Production and Infrastructure-Planning Indicators [Elektronische Daten] [Yu. Kiselev, S. Orlov] 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. Springer Science+Business Media New York, 2015 optimal control nationallicence Pontryagin maximum principle nationallicence singular regimes nationallicence mathematical models of economic growth nationallicence Kiselev Yu Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Orlov S. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 213-243 1046-283X 26:2<213 2015 26 10598 https://doi.org/10.1007/s10598-015-9269-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9269-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kiselev Yu Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Orlov S. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 213-243 1046-283X 26:2<213 2015 26 10598