Skip to main content

Nonoscillation theorems for differential equations with general deviating arguments

Part of the Lecture Notes in Mathematics book series (LNM,volume 1032)

Keywords

  • Functional Differential Equation
  • Minimal Solution
  • Maximal Solution
  • 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   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. M. Fink, Monotone solutions to certain differential equations, C. R. Math. Rep. Acad. Sci. Canada 1(1979), 241–244.

    MATH  Google Scholar 

  2. K. E. Foster and R. C. Grimmer, Nonoscillatory solutions of higher order differential equations, J. Math. Anal. Appl. 71(1979), 1–17.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. —, Nonoscillatory solutions of higher order delay operations, J. Math. Anal. Appl. 77(1980), 150–164.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Y. Kitamura, On nonoscillatory solutions of functional differential equations with a general deviating argument, Hiroshima Math. J. 8(1978), 49–62.

    MathSciNet  MATH  Google Scholar 

  5. Y. Kitamura and T. Kusano, Nonlinear oscillation of higher-order functional differential equations with deviating arguments, J. Math. Anal. Appl. 77(1980), 100–119.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. K. Kreith and T. Kusano, Extremal solutions of general nonlinear differential equations, Hiroshima Math. J. 10(1980), 141–152.

    MathSciNet  MATH  Google Scholar 

  7. D. L. Lovelady, On the asymptotic classes of a superlinear differential equation, Czechoslovak Math. J. 27(1977), 242–245.

    MathSciNet  MATH  Google Scholar 

  8. D. L. Lovelady, On the nonoscillatory solutions of a sublinear even order equation, J. Math. Anal. Appl. 57(1977), 36–40.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. T. Kusano, On even-order functional differential equations with advanced and retarded arguments, J. Diff. Equations 44(1982).

    Google Scholar 

  10. T. Kusano, M. Naito, and K. Tanaka, Oscillatory and asymptotic behavior of solutions of a class of linear ordinary differential equations, Proc. Royal Soc. of Edin. 90A(1981), 25–40.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. W. F. Trench, Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189(1974), 319–327.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Jingcheng Tong, The asymptotic behavior of a class of nonlinear differential equations of second order, Proc. Amer. Math. Soc. 84(1982), 235–236.

    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

© 1983 Springer-Verlag

About this paper

Cite this paper

Fink, A.M., Kusano, T. (1983). Nonoscillation theorems for differential equations with general deviating arguments. In: Everitt, W.N., Lewis, R.T. (eds) Ordinary Differential Equations and Operators. Lecture Notes in Mathematics, vol 1032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076799

Download citation

  • DOI: https://doi.org/10.1007/BFb0076799

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12702-4

  • Online ISBN: 978-3-540-38689-6

  • eBook Packages: Springer Book Archive