New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations

In this work, we deduce a new criterion that guarantees the oscillation of solutions to linear Sturm–Liouville delay noncanonical dynamic equations; these results emulate the criteria of the Hille and Ohriska types for canonical dynamic equations, and these results also solve an open problem in many...

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Bibliographic Details
Published inMathematics (Basel) Vol. 11; no. 23; p. 4850
Main Authors Hassan, Taher S., Bohner, Martin, Florentina, Iambor Loredana, Abdel Menaem, Amir, Mesmouli, Mouataz Billah
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.12.2023
Subjects
Analysis
Criteria
Delay equations
Differential equations
Differential equations, Linear
dynamic equations
linear
Mathematical analysis
Mathematical functions
Oscillation
oscillation behavior
second order
time scales
Egypt
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Summary:In this work, we deduce a new criterion that guarantees the oscillation of solutions to linear Sturm–Liouville delay noncanonical dynamic equations; these results emulate the criteria of the Hille and Ohriska types for canonical dynamic equations, and these results also solve an open problem in many works in the literature. Several examples are offered, demonstrating that the findings achieved are precise, practical, and adaptable.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11234850