Skip to main content

Asymptotic behaviors of solutions of a system of linear ordinary differential equations as t→∞

Research Articles

Part of the Lecture Notes in Mathematics book series (LNM,volume 1475)

Keywords

  • Asymptotic Behavior
  • Differential System
  • Nonlinear Ordinary Differential Equation
  • Distinct Eigenvalue
  • Unknown Vector

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   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. Harris, Jr., H.A., Lutz, D.A. (1977): A unified theory of asymptotic integration. J. Math. Anal. Appl. 57, 571–586

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Sibuya, Y. (1958): Nonlinear ordinary differential equations with periodic coefficients. Funk. Ekva. 1, 77–132

    MathSciNet  Google Scholar 

  4. Sibuya, Y. (1954): Sur un système d'équations différentielles ordinaires linéaires à coefficents périodiques et cotenants des paramètres. Jour. Fac. Sci., Univ. Tokyo, I, 7, 229–241

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Harris, W.A., Sibuya, Y. (1991). Asymptotic behaviors of solutions of a system of linear ordinary differential equations as t→∞. In: Busenberg, S., Martelli, M. (eds) Delay Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 1475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083493

Download citation

  • DOI: https://doi.org/10.1007/BFb0083493

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54120-2

  • Online ISBN: 978-3-540-47418-0

  • eBook Packages: Springer Book Archive