Geodesic
On the Ramsey--Cass--Koopmans problem for consumer choice
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 39-44

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In this paper, we examine the classical (so-called unrealistic) Ramsey–Cass–Koopmans model. For the corresponding differential equation, we apply the method of analytical approximation of its solutions. In subsequent works, we develop this method and apply it to problems in a more general statement.
Keywords: mathematical model, Ramsey–Cass–Koopmans problem, competitive households, maximization of total utility, differential equation, analytical approximation. 
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     title = {On the {Ramsey--Cass--Koopmans} problem for consumer choice},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     volume = {182},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2020_182_a6/}
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A. I. Kozko; L. M. Luzhina; A. Yu. Popov; V. G. Chirskii. On the Ramsey--Cass--Koopmans problem for consumer choice. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 39-44. http://geodesic.mathdoc.fr/item/INTO_2020_182_a6/