New Results on Oscillation of even Order Neutral Differential Equations with Deviating Arguments
Lianzhong Li, Fanwei Meng
DOI: 10.4236/apm.2011.13011   PDF    HTML     5,798 Downloads   11,456 Views   Citations

Abstract

In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and improve many known oscillation criteria because the article just generalizes Meng and Xu’s results.

Share and Cite:

L. Li and F. Meng, "New Results on Oscillation of even Order Neutral Differential Equations with Deviating Arguments," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 49-53. doi: 10.4236/apm.2011.13011.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] R. P. Agarwal, S. R. Grace and D. ORegan, “Oscillation Theory for Differential Equations,” Kluwer Academic, Dordrecht, 2000.
[2] R. P. Agarwal and S. R. Grace, “The Oscillation of Higher Order Differential Equations with Deviating Arguments,” Computers & Mathematics with Applications, Vol. 38, No. 3-4, 1999, pp. 185-199. doi:10.1016/S0898-1221(99)00193-5
[3] Y. Bolat and O. Akin, “Oscillatory Behavior of Higher Order Neutral Type Nonlinear Forced Differential Equation with Oscillating Coefficients,” Journal of Mathematical Analysis and Applications, Vol. 290, No. 1, 2004, pp. 302-309. doi:10.1016/j.jmaa.2003.09.062
[4] W. N. Li, “Oscillation of Higher Order Delay Differential Equations of Neutral Type,” The Georgian Mathematical Journal, Vol. 7, No. 2, 2000, pp. 347-353.
[5] Ch. G. Philos, “Oscillation Theorems for Linear Differential Equations of Second Order,” Archiv der Mathematik, Vol. 53, No. 5, 1989, p. 483. doi:10.1007/BF01324723
[6] F. Meng and R. Xu, “Kamenev-Type Oscillation Criteria for Even Order Neutral Differential Equations with Deviating Arguments,” Applied Mathematics and Computation, Vol. 190, No. 2, 2007, pp. 1402-1408. doi:10.1016/j.amc.2007.02.017
[7] Yu. V. Rogovchenko and F. Tuncay, “Oscillation Criteria For Second-Order Nonlinear Differential Equations with Damping,” Nonlinear Analysis: Theory, Methods & Applications, Vol. 69, No. 1, 2008, pp. 208-221. doi:10.1016/j.na.2007.05.012

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.