Sharp oscillation criteria for second‐order neutral delay differential equations

This paper is a continuation of a recent work by the authors on the oscillatory properties of second‐order half‐linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing on...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2020-11, Vol.43 (17), p.10041-10053
Main Authors: Bohner, Martin, Grace, Said R., Jadlovská, Irena
Format: Article
Language:English
Subjects:
delay
Differential equations
half‐linear neutral differential equation
Mathematical analysis
oscillation
second order
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Summary:This paper is a continuation of a recent work by the authors on the oscillatory properties of second‐order half‐linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6677