New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

Osama Moaaz, Rami Ahmad El-Nabulsi, Ali Muhib, Sayed K. Elagan and Mohammed Zakarya
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Rami Ahmad El-Nabulsi: Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Ali Muhib: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Sayed K. Elagan: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Mohammed Zakarya: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Mathematics, 2021, vol. 9, issue 19, 1-12

Abstract: In this study, a new oscillation criterion for the fourth-order neutral delay differential equation r u x u + p u x ? u ? ? ? + q u x ? ? u = 0 , u ? u 0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function. Furthermore, the new criterion improves and complements the previous results in the literature. The results obtained are illustrated by an example.

Keywords: delay differential equation; neutral; oscillation; fourth-order (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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