Hongwu Wu, Baoguo Jia, Lynn Erbe
Abstract:
This article concerns the oscillation of second-order nonlinear dynamic
equations. By using generalized Riccati transformations, Kiguradze-type and
Belohorec-type oscillation theorems are obtained on an arbitrary time scale.
Our results cover those for differential equations and difference equations,
and provide new oscillation criteria for irregular time scales.
Some examples are given to illustrate our results.
Submitted December 14, 2014. Published March 24, 2015.
Math Subject Classifications: 34K11, 39A10, 39A99.
Key Words: Superlinear; sublinear; time scales; second order; oscillation.
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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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Baoguo Jia School of Mathematics and Computer Science Zhongshan University Guangzhou 510275, China email: mcsjbg@mail.sysu.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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