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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 257, Pages 3–271 (Mi tm470)  
This article is cited in 144 scientific papers (total in 144 papers)

The Pontryagin Maximum Principle and Optimal Economic Growth Problems

S. M. Aseevab, A. V. Kryazhimskiiab

a Steklov Mathematical Institute, Russian Academy of Sciences
b International Institute for Applied Systems Analysis
Full-text PDF (1897 kB) Citations (144)
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Abstract: This monograph is devoted to the theory of the Pontryagin maximum principle as applied to a special class of optimal control problems that arise in economics when studying economic growth processes. The first chapter presents a new approximation approach that leads to a complete set of necessary optimality conditions in the form of the Pontryagin maximum principle. The attention is focused on the characterization of the behavior of the adjoint variable and the Hamiltonian of a problem at infinity. In the second chapter, the approach proposed is applied to a problem of optimal dynamical allocation of labor resources in the endogenous economic growth theory.
The monograph is addressed to a wide circle of scientists, postgraduates, and students who are interested in the theory of the Pontryagin maximum principle and its applications in economics.
Received in February 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 257, Pages 1–255
DOI: https://doi.org/10.1134/S0081543807020010
Bibliographic databases:
Document Type: Book
UDC: 517.977.5+519.86
Language: Russian
Citation: S. M. Aseev, A. V. Kryazhimskii, “The Pontryagin Maximum Principle and Optimal Economic Growth Problems”, Trudy Mat. Inst. Steklova, 257, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 3–271; Proc. Steklov Inst. Math., 257 (2007), 1–255
Citation in format AMSBIB
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\by S.~M.~Aseev, A.~V.~Kryazhimskii
\paper The Pontryagin Maximum Principle and Optimal Economic Growth Problems
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 257
\pages 3--271
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm470}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378173}
\zmath{https://zbmath.org/?q=an:1215.49001}
\elib{https://elibrary.ru/item.asp?id=13543714}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 257
\pages 1--255
\crossref{https://doi.org/10.1134/S0081543807020010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547804663}
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