On The Oscillation of Second Order Non-Linear Differential Equations
DOI:
https://doi.org/10.14419/ijamr.v3i1.1140Published:
2013-11-30Abstract
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
Abdullah, H.K.: Oscillation criteria of second order non-linear differential equations, open Journal of Applied Sciences, (2012),vol.12, pp120-122.
Cakmak D.: Oscillation for second order nonlinear differential equations with damping, Dynam. Systems Appl., (2008),vol.17, No.1 pp139-148.
Close W. J.:Oscillation criteria for nonlinear second order equations, Ann. Mat. Pura Appl.,(1969) vol. 82, pp123-134.
Horng J. Li, : Nonoscillatory characterization of a second order linear differential equations, Math. Nacher,(2000), vol.219, pp147-161.
Kim R. J.: Oscillation criteria of differential equations of second order, Korean J. Math., (2011), vol. 19, No.3, pp309-319.
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.
Sabatini M.: On the period function of x00 + f(x)(x0)2 + g(x) = 0, J. Differential Equations,(2004) vol.196, pp151-168.
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.
Wong J. S. W.: oscillation criteria for second order nonlinear differential equations with integrable coefficients, Proc. Amer. Math.Soc, (1992), vol.115, pp389-395.