Important Criteria for Asymptotic Properties of Nonlinear Differential Equations

In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effec...

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Published inMathematics (Basel) Vol. 9; no. 14; p. 1659
Main Authors AlGhamdi, Ahmed, Bazighifan, Omar, El-Nabulsi, Rami Ahmad
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2021
Subjects
Asymptotic properties
Criteria
Differential equations
fourth-order differential equations
Inequality
Mathematical analysis
Mathematics
neutral delay
Nonlinear differential equations
oscillation
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Summary:In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effectiveness of the new criteria, we offer more than one practical example.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math9141659