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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, Volume 30, Number 2, Pages 23–38
DOI: https://doi.org/10.21538/0134-4889-2024-30-2-23-38 (Mi timm2081) 		 
On the problem of optimal stimulation of demand

A. S. Aseev, S. P. Samsonov

Lomonosov Moscow State University
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DOI: https://doi.org/10.21538/0134-4889-2024-30-2-23-38
Abstract: We study the problem of optimal stimulation of demand based on a controlled version of Kaldor's business cycle model. Using the approximation method, we prove a version of Pontryagin's maximum principle in the normal form, containing an additional pointwise condition on the adjoint variable. The results obtained develop and strengthen the previous results in this direction.
Keywords: optimal control, Kaldor's business cycle model, Pontryagin's maximum principle.
Received: 01.04.2024
Revised: 05.04.2024
Accepted: 08.04.2024
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2024, Volume 325, Issue 1, Pages S33–S47
DOI: https://doi.org/10.1134/S0081543824030039
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49K15
Language: Russian
Citation: A. S. Aseev, S. P. Samsonov, “On the problem of optimal stimulation of demand”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 2, 2024, 23–38; Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S33–S47
Citation in format AMSBIB
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\by A.~S.~Aseev, S.~P.~Samsonov
\paper On the problem of optimal stimulation of demand
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2024
\vol 30
\issue 2
\pages 23--38
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\crossref{https://doi.org/10.21538/0134-4889-2024-30-2-23-38}
\elib{https://elibrary.ru/item.asp?id=67234326}
\edn{https://elibrary.ru/marnob}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2024
\vol 325
\issue , suppl. 1
\pages S33--S47
\crossref{https://doi.org/10.1134/S0081543824030039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85201637393}
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