Geodesic
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},
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     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a13/}
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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/