Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions

The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research. We propose a new explanation of the fourth-order equation oscillation in terms of the oscillation of a similar well-studied second-order line...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 6; p. 995
Main Authors Almarri, Barakah, Ali, Ali Hasan, Lopes, António M., Bazighifan, Omar
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2022
Subjects
comparison theorem
Criteria
Damping
damping term
Differential equations
distributed deviating arguments
Food science
fourth-order
Mathematical analysis
Nonlinear differential equations
oscillation
Riccati transformation
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Summary:The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research. We propose a new explanation of the fourth-order equation oscillation in terms of the oscillation of a similar well-studied second-order linear differential equation without damping. The extended Riccati transformation, integral averaging approach, and comparison principles are used to provide some additional oscillatory criteria. An example demonstrates the efficacy of the acquired criteria.
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SourceType-Scholarly Journals-1
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content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math10060995