Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 160–168
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-160-168 (Mi timm1331) 		 
Some facts about the Ramsey model

A. A. Krasovskiia, P. D. Lebedevb, A. M. Tarasyevbc

a International Institute for Applied Systems Analysis, Laxenburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
c Institute of Economics, The Ural Branch of Russian Academy of Sciences
Full-text PDF (236 kB)
References:
PDF
HTML
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-160-168
Abstract: In modeling the dynamics of capital, the Ramsey equation coupled with the Cobb-Douglas production function is reduced to a linear differential equation by means of the Bernoulli substitution. This equation is used in the optimal growth problem with logarithmic preferences. The study deals with solving the corresponding infinite horizon optimal control problem. We consider a vector field of the Hamiltonian system in the Pontryagin maximum principle, taking into account control constraints. We prove the existence of two alternative steady states, depending on the constraints. This result enriches our understanding of the model analysis in the optimal control framework.
Keywords: mathematical modeling, optimal growth problem, Pontryagin maximum principle, steady states.
Funding agency Grant number
Russian Science Foundation 14-18-00574
Russian Foundation for Basic Research 16-31-00356-мол_а
Received: 09.04.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 123–131
DOI: https://doi.org/10.1134/S0081543817090152
Bibliographic databases:
Document Type: Article
UDC: 517.977.5, 519.86
MSC: 91B62, 49J15, 37C10
Language: Russian
Citation: A. A. Krasovskii, P. D. Lebedev, A. M. Tarasyev, “Some facts about the Ramsey model”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 160–168; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 123–131
Citation in format AMSBIB
\Bibitem{KraLebTar16}
\by A.~A.~Krasovskii, P.~D.~Lebedev, A.~M.~Tarasyev
\paper Some facts about the Ramsey model
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 3
\pages 160--168
\mathnet{http://mi.mathnet.ru/timm1331}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-160-168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3555720}
\elib{https://elibrary.ru/item.asp?id=26530889}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 299
\issue , suppl. 1
\pages 123--131
\crossref{https://doi.org/10.1134/S0081543817090152}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000425144600014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042161323}
Linking options:
  • https://www.mathnet.ru/eng/timm1331
  • https://www.mathnet.ru/eng/timm/v22/i3/p160
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:437
    Full-text PDF :87
    References:82
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024