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     Research Journal of Applied Sciences, Engineering and Technology


Oscillation Criteria for Ordinary Differential Equations of Second Order Nonlinear with Alternating Coefficients

Ambarka A. Salhin, Ummul Khair Salma Din, Rokiah Rozita Ahmad and Mohd Salmi Md Noorani
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Research Journal of Applied Sciences, Engineering and Technology  2014  16:3342-3347
http://dx.doi.org/10.19026/rjaset.7.679  |  © The Author(s) 2014
Received: September 28, 2013  |  Accepted: November 19, 2013  |  Published: November 19, 2013

Abstract

Several new oscillation criteria are established under quite general assumptions. Our results generalize and extend some earlier results of the literature. Examples are given to illustrate the results. We employ the averaging technique to obtain sufficient conditions for oscillation in the solutions of our equation.

Keywords:

Averaging technique, nonlinear differential equations, oscillation criteria, Riccati substitution, second order,


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Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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