Sharp oscillation theorem for fourth-order linear delay differential equations

In this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation x ( 4 ) ( t ) + p ( t ) x ( τ ( t ) ) = 0 by employing a novel method of iteratively improved monotonicity properties of nonoscillatory solutions. The result obtain...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2022; no. 1; pp. 1 - 21
Main Authors Jadlovská, Irena, Džurina, Jozef, Graef, John R., Grace, Said R.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 14.09.2022
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Delayed argument
Differential equations
Fourth-order differential equation
Mathematical functions
Mathematical problems
Mathematics
Mathematics and Statistics
Oscillation
Sharp criterion
Fourth-order differential equation
Delayed argument
Oscillation
Sharp criterion
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ISSN1029-242X
1025-5834
1029-242X
DOI10.1186/s13660-022-02859-0

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Summary:In this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation x ( 4 ) ( t ) + p ( t ) x ( τ ( t ) ) = 0 by employing a novel method of iteratively improved monotonicity properties of nonoscillatory solutions. The result obtained improves a large number of existing ones in the literature.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02859-0