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

In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function. Furthermore, the n...

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Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 19; p. 2388
Main Authors Moaaz, Osama, El-Nabulsi, Rami Ahmad, Muhib, Ali, Elagan, Sayed K., Zakarya, Mohammed
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2021
Subjects
Criteria
delay differential equation
Differential equations
fourth-order
Mathematics
neutral
oscillation
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Summary:In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9192388