Oscillation criteria for second-order quasi-linear neutral functional differential equation

Osama Moaaz; Omar Bazighifan

doi:10.3934/dcdss.2020136

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2020, Volume 13, Issue 9: 2465-2473. Doi: 10.3934/dcdss.2020136

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Oscillation criteria for second-order quasi-linear neutral functional differential equation

Osama Moaaz^1, , and
Omar Bazighifan^2,

1.
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
2.
Department of Mathematics, Faculty of Science, Hadhramout University, Seiyun, Yemen

^* Corresponding author: Osama Moaaz
^* Corresponding author: Osama Moaaz

Received: October 2018

Revised: December 2018

Early access: November 2019

Published: June 2020

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Abstract

In this work, new sufficient conditions for oscillation of solution of second order neutral delay differential equation are established. One objective of our paper is to further simplify and complement some results which were published lately in the literature. In order to support our results, we introduce illustrating examples.

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Mathematics Subject Classification: Primary: 34C10; Secondary: 34K11.

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References

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