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
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.
About the Authors
Artem Ivanovich Kozko
Lomonosov Moscow State University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Lyubov Mihailovna Luzhina
Lomonosov Moscow State University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Anton Yurievich Popov
Lomonosov MoscowState University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences
Vladimir Grirorevich Chirskii
Lomonosov Moscow State University; Russian Presidential Academy of National Economy and Public Administration
Russian Federation
Russian Federation
doctor of physical and mathematical sciences
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Review
For citations:
Kozko A.I., Luzhina L.M., Popov A.Yu., Chirskii V.G. 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 Sbornik. 2022;23(4):115-125. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-4-115-125
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