Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find






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


Russian Mathematical Surveys, 1975, Volume 30, Issue 3, Pages 1–54
DOI: https://doi.org/10.1070/RM1975v030n03ABEH001411
(Mi rm4117)
 

This article is cited in 49 scientific papers (total in 49 papers)

The method of tents in the theory of extremal problems

V. G. Boltyanskii
References:
Abstract: The method of tents is a unified method of solving various kinds of extremal problems. It is a development of the method of Milyutin and Dubovitskii, but it removes their restrictive assumption that certain cones must be solid. The present exposition is limited to the finite-dimensional case. As applications, we give detailed proofs of very general necessary conditions for various types of extremal problems, such as the problems of mathematical programming, of optimal control (in particular, we include a proof of Pontryagin's maximum principle), and of minimax problems.
Received: 26.09.1973
Russian version:
Uspekhi Matematicheskikh Nauk, 1975, Volume 30, Issue 3(183), Pages 3–55
Bibliographic databases:
Document Type: Article
UDC: 519.9
MSC: 52A40, 90C47, 49K24
Language: English
Original paper language: Russian
Citation: V. G. Boltyanskii, “The method of tents in the theory of extremal problems”, Uspekhi Mat. Nauk, 30:3(183) (1975), 3–55; Russian Math. Surveys, 30:3 (1975), 1–54
Citation in format AMSBIB
\Bibitem{Bol75}
\by V.~G.~Boltyanskii
\paper The method of tents in the theory of extremal problems
\jour Uspekhi Mat. Nauk
\yr 1975
\vol 30
\issue 3(183)
\pages 3--55
\mathnet{http://mi.mathnet.ru/rm4117}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=445371}
\zmath{https://zbmath.org/?q=an:0318.49017|0334.49014}
\transl
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 3
\pages 1--54
\crossref{https://doi.org/10.1070/RM1975v030n03ABEH001411}
Linking options:
  • https://www.mathnet.ru/eng/rm4117
  • https://doi.org/10.1070/RM1975v030n03ABEH001411
  • https://www.mathnet.ru/eng/rm/v30/i3/p3
  • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1506
    Russian version PDF:421
    English version PDF:26
    References:62
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024