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New Comparison Theorems for the Even-Order Neutral Delay Differential Equation
Journal article   Open access  Peer reviewed

New Comparison Theorems for the Even-Order Neutral Delay Differential Equation

Osama Moaaz, Rami Ahmad El-Nabulsi, Omar Bazighifan and Ali Muhib
Symmetry (Basel), Vol.12(5), p.764
01/05/2020

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
The aim of this study was to examine the asymptotic properties and oscillation of the even-order neutral differential equations. The results obtained are based on the Riccati transformation and the theory of comparison with first- and second-order delay equations. Our results improve and complement some well-known results. We obtain Hille and Nehari type oscillation criteria to ensure the oscillation of the solutions of the equation. One example is provided to illustrate these results.
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https://doi.org/10.3390/sym12050764View
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