On The Oscillation of Second Order Non-Linear Differential Equations

Authors

  • Hishyar Kh. Abdullah

    University of Sharjah

How to Cite

Abdullah, H. K. (2013). On The Oscillation of Second Order Non-Linear Differential Equations. International Journal of Applied Mathematical Research, 3(1), 1-6. https://doi.org/10.14419/ijamr.v3i1.1140

Received date: July 19, 2013

Accepted date: August 18, 2013

Published date: November 30, 2013

DOI:

https://doi.org/10.14419/ijamr.v3i1.1140

Abstract

In this paper we are concerned with the oscillation of second order non-linear homogeneous differential equation. An example has been given to illustrate the results.

 

References

  1. Abdullah, H.K.: Oscillation criteria of second order non-linear differential equations, open Journal of Applied Sciences, (2012),vol.12, pp120-122.
  2. Cakmak D.: Oscillation for second order nonlinear differential equations with damping, Dynam. Systems Appl., (2008),vol.17, No.1 pp139-148.
  3. Close W. J.:Oscillation criteria for nonlinear second order equations, Ann. Mat. Pura Appl.,(1969) vol. 82, pp123-134.
  4. Horng J. Li, : Nonoscillatory characterization of a second order linear differential equations, Math. Nacher,(2000), vol.219, pp147-161.
  5. Kim R. J.: Oscillation criteria of differential equations of second order, Korean J. Math., (2011), vol. 19, No.3, pp309-319.
  6. Li W.and Agarwal R. P.: Interval oscillation criteria for second order nonlinear di_erential equations with damping, compute. Math. Appl., (2000), vol.40, pp217-230.
  7. Sabatini M.: On the period function of x00 + f(x)(x0)2 + g(x) = 0, J. Differential Equations,(2004) vol.196, pp151-168.
  8. Tyagi J.: An oscillation theorem for a second order nonlinear differential equations with variable potential, Electronic Journal of Differential Equations, vol. (2009), No.19 pp1-5.
  9. Wong J. S. W.: oscillation criteria for second order nonlinear differential equations with integrable coefficients, Proc. Amer. Math.Soc, (1992), vol.115, pp389-395.

Downloads

How to Cite

Abdullah, H. K. (2013). On The Oscillation of Second Order Non-Linear Differential Equations. International Journal of Applied Mathematical Research, 3(1), 1-6. https://doi.org/10.14419/ijamr.v3i1.1140

Received date: July 19, 2013

Accepted date: August 18, 2013

Published date: November 30, 2013