Oscillation Test for Second-Order Differential Equations with Several Delays

In this paper, the oscillatory properties of certain second-order differential equations of neutral type are investigated. We obtain new oscillation criteria, which guarantee that every solution of these equations oscillates. Further, we get conditions of an iterative nature. These results complemen...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-02, Vol.15 (2), p.452
Main Authors: Abdelnaser, Aml, Moaaz, Osama, Cesarano, Clemente, Askar, Sameh, Elabbasy, Elmetwally M.
Format: Article
Language:English
Subjects:
Control theory
Differential equations
Mathematical analysis
Mathematical functions
neutral differential equations
oscillatory behavior
Power lines
several delay arguments
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Summary:In this paper, the oscillatory properties of certain second-order differential equations of neutral type are investigated. We obtain new oscillation criteria, which guarantee that every solution of these equations oscillates. Further, we get conditions of an iterative nature. These results complement and extend some beforehand results obtained in the literature. In order to illustrate the results we present an example.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15020452