Skip to main content
SpringerLink
Log in

Existence Principles and the Theory of Extremal Problems

  • Conference paper
Variational Calculus, Optimal Control and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 124))

  • 485 Accesses

Abstract

Extremal problems arising in mathematics, in the natural sciences, or in practical activities are usually stated initially without formulas, using the terminology of the field in which they arise.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ioffe, A. D.; Tikhomirov, V. M.: Some remarks on variational principles. Matem-aticheskie Zametki, 1997, N 1.

    Google Scholar 

  2. Dontchev, A. L.: The Graves Theorem Revisted. Journ. of Conv. Anal., 1996, N1.

    Google Scholar 

  3. Borwein, J. M.; Preiss, D.: A smooth variational principle. Trans. Amer. Math. Soc., 303, 1987.

    Google Scholar 

  4. DeVille, R.: Nouveaux principles variationnelles. Sem. Inst. d’Analyse, 1990/91, N 21.

    Google Scholar 

  5. Ekeland, I.: Nonconvex Variational Problems. Bull. AMS, 1979.

    Google Scholar 

  6. Ioffe, A. D.; Tikhomirov, V. M.: Theory of Extremal Problems. North-Holland, 1979.

    Google Scholar 

  7. Burzev, S. V.: Existence theorems of implicit function in the conditions of ex-tremum. Mat. sbornik, 185, 1994.

    Google Scholar 

  8. Ioffe, A. D.; Tikhomirov, V. M.: Extension of Variational Problems. Trudy Moscow Math. Obsh. 18, 1968.

    Google Scholar 

  9. Gusseinov, F.: Extension of Multidimensional Variational Problems. Doctoral Dissertation. Baku, 1988.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics, Moscow State University, 117333, Moscow, Russia

    Vladimir Tikhomirov

Authors
  1. Vladimir Tikhomirov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Jahnstr. 15a, D-17487, Greifswald, Germany

    Werner H. Schmidt , Knut Heier  & Leonhard Bittner ,  & 

  2. Zentrum Mathematik, Technische Universität München, Arcisstr. 21, D-80290, München, Germany

    Roland Bulirsch

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Basel AG

About this paper

Cite this paper

Tikhomirov, V. (1998). Existence Principles and the Theory of Extremal Problems. In: Schmidt, W.H., Heier, K., Bittner, L., Bulirsch, R. (eds) Variational Calculus, Optimal Control and Applications. International Series of Numerical Mathematics, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8802-8_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8802-8_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9780-8

  • Online ISBN: 978-3-0348-8802-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation