Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales
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- 作者：XunHuan Deng ; QiRu Wang ; Zhan Zhou
- 关键词：neutral dynamic equations ; oscillation ; positive and negative coefficients ; Riccati transformation
- 刊名：Science China Mathematics
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：60
- 期：1
- 页码：113-132
- 全文大小：281KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Applications of Mathematics;
- 出版者：Science China Press
- ISSN：1869-1862
- 卷排序：60
文摘
We investigate oscillation of certain second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients. We use some different techniques and apply Riccati transformation to establish new oscillatory criteria which include two necessary and sufficient conditions. Moreover, we point out that how the power γ plays its role. Some interesting examples are given to illustrate the versatility of our results.