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Article

Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory

1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2
AMPSAS, University College Dublin, D04 V1W8 Dublin, Ireland
3
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
4
Department of Mathematics, Faculty of Education, Ibb University, Ibb 70270, Yemen
*
Author to whom correspondence should be addressed.
Appl. Sci. 2021, 11(1), 425; https://doi.org/10.3390/app11010425
Received: 26 November 2020 / Revised: 22 December 2020 / Accepted: 25 December 2020 / Published: 4 January 2021
The objective of this study was to improve existing oscillation criteria for delay differential equations (DDEs) of the fourth order by establishing new criteria for the nonexistence of so-called Kneser solutions. The new criteria are characterized by taking into account the effect of delay argument. All previous relevant results have neglected the effect of the delay argument, so our results substantially improve the well-known results reported in the literature. The effectiveness of our new criteria is illustrated via an example. View Full-Text
Keywords: differential equations of fourth-order; Kneser solutions; oscillation differential equations of fourth-order; Kneser solutions; oscillation
MDPI and ACS Style

Moaaz, O.; Dassios, I.; Bin Jebreen, H.; Muhib, A. Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory. Appl. Sci. 2021, 11, 425. https://doi.org/10.3390/app11010425

AMA Style

Moaaz O, Dassios I, Bin Jebreen H, Muhib A. Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory. Applied Sciences. 2021; 11(1):425. https://doi.org/10.3390/app11010425

Chicago/Turabian Style

Moaaz, Osama, Ioannis Dassios, Haifa Bin Jebreen, and Ali Muhib. 2021. "Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory" Applied Sciences 11, no. 1: 425. https://doi.org/10.3390/app11010425

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