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Article

Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order

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 Education (Al-Nadirah), Ibb University, Ibb, Yemen
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(14), 4855; https://doi.org/10.3390/app10144855
Received: 12 May 2020 / Revised: 9 June 2020 / Accepted: 13 July 2020 / Published: 15 July 2020
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under study differential equations to ensure that all its solutions are oscillatory. An example is given that illustrates our theory. View Full-Text
Keywords: third-order differential equations; kneser solution; differential inequalities; neutral; delays; non-linear; oscillation criteria third-order differential equations; kneser solution; differential inequalities; neutral; delays; non-linear; oscillation criteria
MDPI and ACS Style

Moaaz, O.; Dassios, I.; Muhsin, W.; Muhib, A. Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order. Appl. Sci. 2020, 10, 4855. https://doi.org/10.3390/app10144855

AMA Style

Moaaz O, Dassios I, Muhsin W, Muhib A. Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order. Applied Sciences. 2020; 10(14):4855. https://doi.org/10.3390/app10144855

Chicago/Turabian Style

Moaaz, Osama, Ioannis Dassios, Waad Muhsin, and Ali Muhib. 2020. "Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order" Applied Sciences 10, no. 14: 4855. https://doi.org/10.3390/app10144855

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