Geodesic
Restrictions on the values of the consumption function in the Ramsey --- Kass --- Koopmans economic growth model in the case of a stationary saving function
Čebyševskij sbornik, Tome 22 (2021) no. 2, pp. 501-509

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We study the dependence of the functions of capital (resource) and consumption in the Ramsey–Kass–Koopmans economic model in the case when saving is an identical constant. The system of differential equations describing the evolution of the economic model under consideration is solved in quadratures under the assumptions made. Upper estimates of the consumption function are found based on the obtained solution.
Keywords: mathematical model, Ramsey–Kass–Koopmans problem, competitive households, function of capital, consumption. 
@article{CHEB_2021_22_2_a31,
     author = {A. I. Kozko and L. M. Luzhina and A. Yu. Popov and V. G. Chirskii},
     title = {Restrictions on the values of the consumption function in the {Ramsey} --- {Kass} --- {Koopmans} economic growth model in the case of a stationary saving function},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {501--509},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2021_22_2_a31/}
}
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A. I. Kozko; L. M. Luzhina; A. Yu. Popov; V. G. Chirskii. Restrictions on the values of the consumption function in the Ramsey --- Kass --- Koopmans economic growth model in the case of a stationary saving function. Čebyševskij sbornik, Tome 22 (2021) no. 2, pp. 501-509. http://geodesic.mathdoc.fr/item/CHEB_2021_22_2_a31/