Oscillation of solution to second-order half-linear delay dynamic equations on time scales

This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained. Our results extend Kamenev-type, Philos-type and Li-type osci...

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Bibliographic Details
Published in:Electronic journal of differential equations 2016-03, Vol.2016 (71), p.1-15
Main Authors: Hongwu Wu, Lynn Erbe, Allan Peterson
Format: Article
Language:English
Subjects:
Half-linear
oscillation
time scales
variable delay
Online Access:Get full text
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Summary:This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained. Our results extend Kamenev-type, Philos-type and Li-type oscillation criteria. Several examples are given to illustrate our results.
ISSN:1072-6691