Research Article | OPEN ACCESS
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
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.
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