Skip to main content

Oscillation properties of weakly nonlinear differential equations

  • 519 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 846)

Keywords

  • Nonlinear Differential Equation
  • Linear Differential Equation
  • Functional Differential Equation
  • Nonoscillatory Solution
  • Linear Ordinary Differential Equation

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. G. Anan'eva and V. Balaganskii, Oscillation of the solutions of certain differential equations of higher order, Uspehi Mat. Nauk 14(1959), 135–140.

    MathSciNet  Google Scholar 

  2. F. V. Atkinson, On second-order non-linear oscillations, Pacific J. Math. 5(1955), 643–647.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. T. A. Čanturija, Some comparison theorems for higher order ordinary differential equations, Bull. Acad. Polon. Sci. 25(1977), 749–756.

    MathSciNet  Google Scholar 

  4. K. Kreith and T. Kusano, Extremal solutions of general nonlinear differential equations, Hiroshima Math. J., to appear.

    Google Scholar 

  5. K. Kreith and T. Kusano, Oscillation theorems for nonlinear ordinary differential equations of even order (submitted for publication).

    Google Scholar 

  6. K. Kreith, T. Kusano, and M. Naito, Oscillation criteria for weakly superlinear differential equations of even order (submitted for publication).

    Google Scholar 

  7. T. Kusano and M. Naito, Oscillation criteria for a general linear ordinary differential equation (to appear).

    Google Scholar 

  8. T. Kusano and Y. Kitamura, Nonlinear oscillation of higher-order functional differential equations with deviating arguments (to appear).

    Google Scholar 

  9. Z. Nehari, Oscillation criteria for second-order linear differential equations, Trans. Amer. Math. Soc. 85(1957), 428–445.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. D. Lovelady, Oscillation and even order linear differential equations, Rocky Mountain J. Math. 6(1976), 299–304.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Kreith, K. (1981). Oscillation properties of weakly nonlinear differential equations. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089838

Download citation

  • DOI: https://doi.org/10.1007/BFb0089838

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10569-5

  • Online ISBN: 978-3-540-38538-7

  • eBook Packages: Springer Book Archive