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Chebyshevskii Sbornik, 2022, Volume 23, Issue 4, Pages 115–125
DOI: https://doi.org/10.22405/2226-8383-2022-23-4-115-125 (Mi cheb1227) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The method of approximate solution of a system of differential equations from the Ramsey–Kass–Koopmans model, based on the solution in quadratures of one subclass of similar systems

A. I. Kozkoa, L. M. Luzhinaa, A. Yu. Popova, V. G. Chirskiiab

a Lomonosov Moscow State University (Moscow)
b Russian Presidential Academy of National Economy and Public Administration (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2022-23-4-115-125
Abstract: The article is devoted to the Ramsey–Kass–Koopmans model. We consider an auxiliary system of differential equations, which is analogous to the system that arises in the case of constancy of the stationary rate of savings. We found that systems of this class are solved in quadrature. This allows us to find approximate solutions to the system describing the original model.
Keywords: mathematical model, Ramsey–Kass–Koopmans problem, competitive households, stationary savings rate.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332_a
Received: 22.09.2022
Accepted: 08.12.2022
Document Type: Article
UDC: 518.865
Language: Russian
Citation: A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “The method of approximate solution of a system of differential equations from the Ramsey–Kass–Koopmans model, based on the solution in quadratures of one subclass of similar systems”, Chebyshevskii Sb., 23:4 (2022), 115–125
Citation in format AMSBIB
\Bibitem{KozLuzPop22}
\by A.~I.~Kozko, L.~M.~Luzhina, A.~Yu.~Popov, V.~G.~Chirskii
\paper The method of approximate solution of a system of differential equations from the Ramsey--Kass--Koopmans model, based on the solution in quadratures of one subclass of similar systems
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 4
\pages 115--125
\mathnet{http://mi.mathnet.ru/cheb1227}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-4-115-125}
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