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Open AccessArticle

Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments

by Osama Moaaz 1,†, Ioannis Dassios 2,*,† and Omar Bazighifan 3,4,†
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2
AMPSAS, University College Dublin, D4 Dublin, Ireland
3
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
4
Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(3), 412; https://doi.org/10.3390/math8030412 (registering DOI)
Received: 19 February 2020 / Revised: 9 March 2020 / Accepted: 11 March 2020 / Published: 13 March 2020
(This article belongs to the Special Issue Multivariate Approximation for solving ODE and PDE)
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using the technique of Riccati transformation and comparison principles with the second-order differential equations, we obtain a new Philos-type criterion. Our results extend and improve some known results in the literature. An example is given to illustrate our main results. View Full-Text
Keywords: even-order differential equations; neutral delay; oscillation even-order differential equations; neutral delay; oscillation
MDPI and ACS Style

Moaaz, O.; Dassios, I.; Bazighifan, O. Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments. Mathematics 2020, 8, 412.

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