Skip to main content
Log in

Problems with one quarter

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation (r(t)u′(t))′ + p(t)u(t) = 0 are derived. One of them deals with the case ∫ dt/r(t) = ∞, and the other with the case ∫ dt/r(t) < ∞.

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.

Similar content being viewed by others

References

  1. J. H. Barrett: Oscillation theory of ordinary linear differential equations. Adv. Math. 3 (1969), 415–509.

    Article  Google Scholar 

  2. M. Cecchi, M. Marini and G. Villari: Integral criteria for a classification of solutions of linear differential equations. J. Differential Equations 99 (1992), 381–397.

    Article  Google Scholar 

  3. J. Dzurina: Property (A) of advanced functional differential equations. Math. Slovaca 45 (1995), 129–137.

    Google Scholar 

  4. P. Hartman: Ordinary Differential Equations. Wiley, New York, 1964.

    Google Scholar 

  5. J. Ohriska: Oscillation of differential equations and v-derivatives. Czechoslovak Math. J. 39(114) (1989), 24–44.

    Google Scholar 

  6. J. Ohriska: On the oscillation of a linear differential equation of second order. Czechoslovak Math. J. 39(114) (1989), 16–23.

    Google Scholar 

  7. W. T. Reid: Sturmian Theory for Ordinary Differential Equations. Springer-Verlag, New York, 1980.

    Google Scholar 

  8. D. Willett: Classification of second order linear differential equations with respect to oscillation. Adv. Math. 3 (1969), 594–623.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by the grant VGA of Slovak Republic No. 1/7466/20.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kosice, J.O. Problems with one quarter. Czech Math J 55, 349–363 (2005). https://doi.org/10.1007/s10587-005-0026-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10587-005-0026-9

Keywords

Navigation