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Delay differential equation of fourth-order: Asymptotic analysis and oscillatory behavior
Journal article   Open access  Peer reviewed

Delay differential equation of fourth-order: Asymptotic analysis and oscillatory behavior

Osama Moaaz, Ali Muhib, Mohammed Zakarya and Abdel-Haleem Abdel-Aty
Alexandria engineering journal, Vol.61(4), pp.2919-2924
04/2022
DOI: https://doi.org/10.1016/j.aej.2021.08.024

Abstract

Asymptotic analysis Delay differential equation Even-order Oscillatory behavior
The objective of this work is to offer sufficient conditions for the oscillation of all solutions of fourth-order delay differential equations with non-canonical operator. By establishing sufficient conditions for nonexistence of positive solutions, we attain oscillation of all solutions of the studied equations. Our results substantially extend and complement a number of existing ones.
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https://doi.org/10.1016/j.aej.2021.08.024View
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