Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term

In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential equations of second-order, fourth-order equations have received less attention. We get more t...

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Bibliographic Details
Published in:Advances in difference equations 2021-08, Vol.2021 (1), p.1-11, Article 401
Main Authors: Althubiti, Saeed, Alsharari, Fahad, Bazighifan, Omar, Chatzarakis, George E.
Format: Article
Language:English
Subjects:
Analysis
Asymptotic properties
Difference and Functional Equations
Differential equations
Fourth-order differential equations
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Neutral delay
Ordinary Differential Equations
Oscillation
Partial Differential Equations
Philos-type oscillation
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Summary:In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential equations of second-order, fourth-order equations have received less attention. We get more than one criterion to check the oscillation by the generalized Riccati method and the integral average technique. Our results are an extension and complement to some results published in the literature. Examples are given to prove the significance of new theorems.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03555-x