Skip to main content
SpringerLink
Log in

The use of Liapunov functions for global existence

  • Conference paper
  • First Online:
Seminar on Differential Equations and Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 60))

  • 380 Accesses

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 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
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.

Bibliography

  1. R. CONTI, Sulla prolungabilità delle soluzioni di un sistema di equazioni differenziali ordinarie, Boll. Un. Mat. Ital. 11(1956), 510–514.

    MathSciNet  MATH  Google Scholar 

  2. J. P. LASALLE and S. LEFSCHETZ, Stability by Liapunov’s Direct Method with Applications, Academic Press, New York, 1961.

    MATH  Google Scholar 

  3. J. KATO and A. STRAUSS, On the global existence of solutions and Liapunov functions, Annali Mat. Pura Appl., to appear.

    Google Scholar 

  4. A. STRAUSS, Liapunov functions and Lp solutions of differential equations, Trans. Amer. Math. Soc. 119(1965), 37–50.

    MathSciNet  MATH  Google Scholar 

  5. A. STRAUSS, A note on a global existence result of R. Conti, Boll. Un. Mat. Ital., to appear.

    Google Scholar 

  6. T. YOSHIZAWA, Stability Theory by Liapunov’s Second Method, Math. Soc. Japan, Tokyo, 1966.

    MATH  Google Scholar 

Download references

Authors
  1. Aaron Strauss
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

G. Stephen Jones

Rights and permissions

Reprints and permissions

Copyright information

© 1968 Springer-Verlag

About this paper

Cite this paper

Strauss, A. (1968). The use of Liapunov functions for global existence. In: Jones, G.S. (eds) Seminar on Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077130

Download citation

  • DOI: https://doi.org/10.1007/BFb0077130

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04230-3

  • Online ISBN: 978-3-540-35862-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation