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Open AccessArticle

New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities

by Osama Moaaz 1,†, Shigeru Furuichi 2,*,† and Ali Muhib 1,3,†
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2
Department of Information Science, College of Humanities and Sciences, Nihon University, 3-25-40, Sakurajyousui, Setagaya-ku, Tokyo 156-8550, Japan
3
Department of Mathematics, Faculty of Education (Al-Nadirah), Ibb University, PO Box 70270, Ibb, Yemen
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(3), 454; https://doi.org/10.3390/math8030454
Received: 20 February 2020 / Revised: 15 March 2020 / Accepted: 18 March 2020 / Published: 22 March 2020
(This article belongs to the Special Issue Inequalities 2020)
In this work, we present a new technique for the oscillatory properties of solutions of higher-order differential equations. We set new sufficient criteria for oscillation via comparison with higher-order differential inequalities. Moreover, we use the comparison with first-order differential equations. Finally, we provide an example to illustrate the importance of the results. View Full-Text
Keywords: higher-order differential equations; differential inequalities; oscillatory properties higher-order differential equations; differential inequalities; oscillatory properties
MDPI and ACS Style

Moaaz, O.; Furuichi, S.; Muhib, A. New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities. Mathematics 2020, 8, 454.

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