Skip to main content
Log in

Oscillatory Behaviour of a Higher Order Nonlinear Neutral Delay Type Functional Differential Equation with Oscillating Coefficients

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients. We obtain two sufficient criteria for oscillatory behaviour of its solutions.

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. R. P. Agarwal, Said R. Grace and Donal O'Regan: Oscillation Theory for Difference and Functional Differential Equations. Kluwer Academic Publishers, Dordrecht, 2000.

    Google Scholar 

  2. D. Bainov and D. P. Mishev: Oscillation Theory of Operator-Differential Equations. World Scientific, Singapore-New Yersey, 1995.

    Google Scholar 

  3. G. S. Ladde, V. Lakshmikantham and B. G. Zhang: Oscillation Theory of Differential Equations with Deviating Arguments. M. Dekker, New York, 1987.

    Google Scholar 

  4. D. Bainov and D. P. Mishev: Oscillation Theory for Neutral Differential Equations with Delay. Adam Hilger, New York, 1991.

    Google Scholar 

  5. I. Gyori and G. Ladas: Oscillation Theory of Delay Differential Equations with Applications. Clarendon Press, Oxford, 1991.

    Google Scholar 

  6. N. Parhi: Oscillations of higher order differential equations of neutral type. Czechoslovak Math. J. 50(125) (2000), 155–173.

    MATH  MathSciNet  Google Scholar 

  7. Feng Yuecai: Oscillatory behavior of higher order nonlinear neutral functional differential equation with oscillating coefficients. J. South Chine Normal Unv. (1999), 6–11. (In Chinese.)

  8. P. R. Agarwal and S. R. Grace: The oscillation of higher order differential equations with deviating arguments. Comput. Math. Appl. 38 (1999), 185–199.

    MathSciNet  Google Scholar 

  9. S. R. Grace and B. S. Lalli: Oscillation theorems for certain neutral differential equations. Czechoslovak Math. J. 38 (1988), 745–783.

    MathSciNet  Google Scholar 

  10. R. P. Agarwal, E. Thandapani and P. J. Y. Wong: Oscillation of higher order neutral differential equations. Appl. Math. Letters 10 (1997), 71–78.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bolat, Y., Akin, O. Oscillatory Behaviour of a Higher Order Nonlinear Neutral Delay Type Functional Differential Equation with Oscillating Coefficients. Czech Math J 55, 893–900 (2005). https://doi.org/10.1007/s10587-005-0073-2

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10587-005-0073-2

Keywords

Navigation