Existence of nonoscillatory solutions of nonlinear neutral differential equation of second order

Volume 19, Issue 1, pp 1--8 http://dx.doi.org/10.22436/jmcs.019.01.01

Publication Date: February 16, 2019 Submission Date: July 23, 2018 Revision Date: November 17, 2018 Accteptance Date: November 22, 2018

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Authors

Hussain Ali Mohamad - Department of mathematics, College of science for women, University of Baghdad, Iraq. Bashar Ahmed Jawad - Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Iraq.

Abstract

In this paper, some necessary and sufficient conditions have been obtained to ensure the existence of nonoscillatory solutions which are bounded below and above by bounded functions. These conditions are more applicable than some known results in the references. An example is included to illustrate the results obtained.

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Keywords

• Existence of positive solution
• neutral differential equations
• asymptotic behavior

MSC

•  34C10
•  34K11

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