Skip to main content

Fuller's index for periodic solutions of functional differential equations

  • 433 Accesses

Part of the Lecture Notes in Mathematics book series (2803,volume 1411)

Keywords

  • Periodic Solution
  • Periodic Orbit
  • Periodic Point
  • Functional Differential Equation
  • Poincare Mapping

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Brunovský: On one parameter families of diffeomorphisms. CMUC 11 (1970) 559–582

    MathSciNet  MATH  Google Scholar 

  2. S.N. Chow, J. Mallet-Paret: The Fuller index and global Hopf bifurcation. J. Diff. Eq. 39 (1978) 66–84

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. C.C. Fenske: Periodic orbits of semiflows — Local indices and sections. In “Selected topics in Operations Research and Mathematical Economics” (Lecture Notes in Economics and Mathematical Systems 226) pp. 348–360. Springer-Verlag Berlin/Heidelberg/New York/Tokyo 1984

    CrossRef  Google Scholar 

  4. —: A simple-mined approach to the index of periodic orbits. J. Math. Analysis Appl. 129 (1988) 517–532

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. —: An index for periodic orbits of retarded functional differential equations (to appear)

    Google Scholar 

  6. F.B. Fuller: An index of fixed point type for periodic orbits. Amer. J. Math. 89 (1967) 133–148

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. J. Hale: Theory of functional differential equations. (Applied Mathematical Sciences 3). Springer-Verlag New York/Heidelberg/Berlin 1977

    MATH  Google Scholar 

  8. S.T. Hu: Theory of retracts. Wayne State University Press Detroit 1965

    Google Scholar 

  9. J. Mallet-Paret: Generic periodic solutions of functional differential equations. J. Diff. Eq. 25 (1977) 163–183

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Fenske, C.C. (1989). Fuller's index for periodic solutions of functional differential equations. In: Jiang, B. (eds) Topological Fixed Point Theory and Applications. Lecture Notes in Mathematics, vol 1411. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086441

Download citation

  • DOI: https://doi.org/10.1007/BFb0086441

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51932-4

  • Online ISBN: 978-3-540-46862-2

  • eBook Packages: Springer Book Archive