Skip to main content

Analytic theory of linear differential systems

Section I

Part of the Lecture Notes in Mathematics book series (LNM,volume 243)

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. E.A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955.

    MATH  Google Scholar 

  2. W.A. Harris, Jr., Characterizations of linear differential systems with a regular singular point, Proc. Edinburgh Math. Soc. (to appear).

    Google Scholar 

  3. W. A. Harris, Jr., Y. Sibuya, and L. Weinberg, Holomorphic solutions of linear differential systems at singular points, Arch, Rational Mech. Anal. 35, 245–248 (1969).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. P. Hartman, Ordinary differential equation, J. Wiley and Sons, New York, 1964.

    MATH  Google Scholar 

  5. W.B. Jurkat and D.A. Lutz, On the order of solutions of analytic differential equation, Proc. London Math. Soc. 22, 465–482 (1971).

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. D.A. Lutz, Some characterizations of systems of linear differential equations having regular singular solutions, Trans. Amer. Math. Soc. 126, 427–441 (1967).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. D.A. Lutz, On systems of linear differential equations having regular singular solutions, J. of Differential Equations 3, 311–322 (1967).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. D.A. Lutz, On the reduction of rank of linear differential system, Pacific J. Math. (to appear).

    Google Scholar 

  9. J. Moser, The order of a singularity in Fuchs' theory, Math. Z. 72, 379–398 (1960).

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H.L. Turrittin, Reducing the rank of ordinary differential equations, Duke Math. J. 30, 271–274 (1963).

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. W. Wasow, Asymptotic expansions for ordinary differential equations, J. Wiley and Sons, New York, 1965.

    MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Harris, W.A. (1971). Analytic theory of linear differential systems. In: Urabe, M. (eds) Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058731

Download citation

  • DOI: https://doi.org/10.1007/BFb0058731

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05708-6

  • Online ISBN: 978-3-540-37080-2

  • eBook Packages: Springer Book Archive