Hongwu Wu, Lynn Erbe, Allan Peterson
Abstract:
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.
Submitted February 10, 2016. Published March 15, 2016.
Math Subject Classifications: 34K11, 39A13, 39A99.
Key Words: Half-linear; oscillation; variable delay; time scales.
Show me the PDF file (287 KB), TEX file for this article.
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Hongwu Wu School of Mathematics South China University of Technology Guangzhou 510640, China email: hwwu@scut.edu.cn |
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Lynn Erbe Department of Mathematics University of Nebraska-Lincoln Lincoln, NE 68588-0130, USA email: lerbe@unl.edu |
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Allan Peterson Department of Mathematics University of Nebraska-Lincoln Lincoln, NE 68588-0130, USA email: apeterson1@math.unl.edu |
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