Skip to main content
Log in

Oscillation and nonoscillation criteria for second order quasilinear differential equations

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Á. Elbert, A half-linear second order differential equation, Colloquia Math. Soc. János Bolyai 30:Qualitative Theory of Differential Equations (Szeged, 1979), 153–180.

  2. Á. Elbert, Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations, Lecture Notes in Mathematics, Vol. 964:Ordinary and Partial Differential Equations (1982), pp. 187–212.

  3. E. Hille, Non-oscillation theorems,Trans. Amer. Math. Soc.,64 (1948), 234–252.

    Article  MATH  MathSciNet  Google Scholar 

  4. T. Kusano, Y. Naito, and A. Ogata, Strong oscillation and nonoscillation of quasilinear differential equations of second order,Differential Equations and Dynamical System,2 (1994), 1–10.

    MATH  MathSciNet  Google Scholar 

  5. T. Kusano, and N. Yoshida, Nonoscillation theorems for a class of quasilinear differential equations of second order,J. Math. Anal. Appl.,189 (1995), 115–127.

    Article  MATH  MathSciNet  Google Scholar 

  6. D. D. Mirzov, On some analogs of Sturm’s and Kneser’s theorems for nonlinear systems,J. Math. Anal. Appl.,53 (1976), 418–425.

    Article  MATH  MathSciNet  Google Scholar 

  7. D. D. Mirzov, On the oscillation of solutions of a system of differential equations,Mat. Zametki,23 (1978), 401–404 (Russian).

    MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kusano, T., Naito, Y. Oscillation and nonoscillation criteria for second order quasilinear differential equations. Acta Math. Hungar. 76, 81–99 (1997). https://doi.org/10.1007/BF02907054

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02907054

Keywords

Navigation