Oscillations of Neutral Difference Equations of Second Order with Positive and Negative Coefficients
Pure and Applied Mathematics Journal
Volume 5, Issue 1, February 2016, Pages: 9-14
Received: Nov. 19, 2015; Accepted: Dec. 7, 2015; Published: Jan. 29, 2016
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Authors
Hussain Ali Mohamad, Dept. of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
Hala Majid Mohi, Dept. of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
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Abstract
In this paper some necessary and sufficient conditions are obtained to guarantee the oscillation for bounded and all solutions of second order nonlinear neutral delay difference equations. In Theorem 5 and Theorem 8, We have studied the oscillation criteria as well as the asymptotic behavior, where was established some sufficient conditions to ensure that every solution are either oscillates or |yn |→∞ as n→∞. Examples are given to illustrate the obtained results.
Keywords
Oscillation, Neutral Difference Equations, Second Order Difference Equations
To cite this article
Hussain Ali Mohamad, Hala Majid Mohi, Oscillations of Neutral Difference Equations of Second Order with Positive and Negative Coefficients, Pure and Applied Mathematics Journal. Vol. 5, No. 1, 2016, pp. 9-14. doi: 10.11648/j.pamj.20160501.12
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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