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Ural Mathematical Journal, 2019, Volume 5, Issue 1, Pages 24–30
DOI: https://doi.org/10.15826/umj.2019.1.003 (Mi umj71) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On necessary optimality conditions for Ramsey-type problems

Anton O. Belyakovabc

a Moscow School of Economics, Lomonosov Moscow State University, Leninskiye Gory, Moscow, 119992, Russia
b National Research Nuclear University “MEPhI”, 31 Kashirskoe shosse, Moscow, 115409, Russia
c Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg, 620990, Russia
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DOI: https://doi.org/10.15826/umj.2019.1.003
Abstract: We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy. To complete the optimality conditions of Pontryagin’s maximum principle, so called transversality conditions of different types are used in the literature. Here, instead of a transversality condition, an additional maximum condition is considered.
Keywords: Pontryagin maximum principle, transversality condition, optimal control, Ramsey problem.
Funding agency Grant number
Russian Science Foundation 17-11-01093
This work was supported by the Russian Science Foundation (project no. 17-11-01093).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Anton O. Belyakov, “On necessary optimality conditions for Ramsey-type problems”, Ural Math. J., 5:1 (2019), 24–30
Citation in format AMSBIB
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\by Anton~O.~Belyakov
\paper On necessary optimality conditions for Ramsey-type problems
\jour Ural Math. J.
\yr 2019
\vol 5
\issue 1
\pages 24--30
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\crossref{https://doi.org/10.15826/umj.2019.1.003}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3995652}
\zmath{https://zbmath.org/?q=an:1448.91177}
\elib{https://elibrary.ru/item.asp?id=38948047}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071457711}
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