About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth
Čebyševskij sbornik, Tome 24 (2023) no. 2, pp. 256-265
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The article is devoted to the Ramsey — Kass — Koopmans economic growth model. We investigated the monotonicity of the functions $C(t)$ and $K(t)$ under a special initial condition. Our results are obtained using an auxiliary system of differential equations, which is similar to the original system of differential equations arising in the case of constancy of the stationary rate of savings.
Keywords:
mathematical model, Ramsey — Kass — Koopmans problem, monotony of the function of saving and capital, competitive households, stationary savings rate.
@article{CHEB_2023_24_2_a13,
author = {A. I. Kozko and L. M. Luzhina and A. Yu. Popov and V. G. Chirskii},
title = {About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {256--265},
publisher = {mathdoc},
volume = {24},
number = {2},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a13/}
}
TY - JOUR AU - A. I. Kozko AU - L. M. Luzhina AU - A. Yu. Popov AU - V. G. Chirskii TI - About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth JO - Čebyševskij sbornik PY - 2023 SP - 256 EP - 265 VL - 24 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a13/ LA - ru ID - CHEB_2023_24_2_a13 ER -
%0 Journal Article %A A. I. Kozko %A L. M. Luzhina %A A. Yu. Popov %A V. G. Chirskii %T About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth %J Čebyševskij sbornik %D 2023 %P 256-265 %V 24 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a13/ %G ru %F CHEB_2023_24_2_a13
A. I. Kozko; L. M. Luzhina; A. Yu. Popov; V. G. Chirskii. About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth. Čebyševskij sbornik, Tome 24 (2023) no. 2, pp. 256-265. http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a13/