Skip to main content

On asymptotic integration

  • 2589 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 564)

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
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. A. Devinatz, "An asymptotic theory for systems of linear differential equations", Trans. Amer. Math. Soc. 160(1971), 353–363.

    MathSciNet  MATH  Google Scholar 

  2. M. Fedoryuk, "Asymptotic methods in the theory of one-dimensional singular differential operators", Trans. Moskow Math. Soc. (1966), 333–386.

    Google Scholar 

  3. W.A. Harris, Jr. and D.A. Lutz, "On the asymptotic integration of linear differential systems", J. Math. Anal. Appl. 48(1974), 1–16.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. _____, "Asymptotic integration of adiabatic oscillators", J. Math. Appl. 51(1975), 76–93.

    MathSciNet  MATH  Google Scholar 

  5. _____. "A unified theory of asymptotic integration", J. Math. Anal. Appl. (to appear).

    Google Scholar 

  6. P. Hartman and A. Wintner, "Asymptotic integration of linear differential equations". Amer. J. Math. 77(1955), 45–86 and 932.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. N. Levinson, "The asymptotic nature of solutions of linear differential equations", Duke Math. J. 15(1948), 111–126.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Harris, W.A. (1976). On asymptotic integration. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087339

Download citation

  • DOI: https://doi.org/10.1007/BFb0087339

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive