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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Article

New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms

1
Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, Egypt
2
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
3
Department of Mathematics, Atilim University, Incek, Ankara 06830, Turkey
*
Author to whom correspondence should be addressed.
Academic Editor: Anne Humeau-Heurtier
Received: 1 January 2021 / Revised: 2 February 2021 / Accepted: 9 February 2021 / Published: 15 February 2021
(This article belongs to the Special Issue Nonlinear Dynamics and Analysis)
In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples. View Full-Text
Keywords: oscillation; asymptotic behavior; nonlinear neutral term; third-order dynamic equations oscillation; asymptotic behavior; nonlinear neutral term; third-order dynamic equations
MDPI and ACS Style

Grace, S.R.; Alzabut, J.; Özbekler, A. New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms. Entropy 2021, 23, 227. https://0-doi-org.brum.beds.ac.uk/10.3390/e23020227

AMA Style

Grace SR, Alzabut J, Özbekler A. New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms. Entropy. 2021; 23(2):227. https://0-doi-org.brum.beds.ac.uk/10.3390/e23020227

Chicago/Turabian Style

Grace, Said R., Jehad Alzabut, and Abdullah Özbekler. 2021. "New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms" Entropy 23, no. 2: 227. https://0-doi-org.brum.beds.ac.uk/10.3390/e23020227

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