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

Osama Moaaz, Shigeru Furuichi and Ali Muhib
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Shigeru Furuichi: Department of Information Science, College of Humanities and Sciences, Nihon University, 3-25-40, Sakurajyousui, Setagaya-ku, Tokyo 156-8550, Japan
Ali Muhib: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Mathematics, 2020, vol. 8, issue 3, 1-8

Abstract: 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.

Keywords: higher-order differential equations; differential inequalities; oscillatory properties (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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