Cunchen Gao, Tongxing Li, Shuhong Tang, Ethiraju Thandapani
In this article, we obtain several comparison theorems for the second-order neutral dynamic equation
where are ratios of positive odd integers. We compare such equation with the first-order dynamic inequalities in the sense that the absence of the eventually positive solutions of these first-order inequalities implies the oscillation of the studied equation.
Submitted March 21, 2011. Published August 10, 2011.
Math Subject Classifications: 34K11, 39A21, 34N05.
Key Words: Oscillation; neutral functional dynamic equation; comparison theorem; time scales.
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| Cunchen Gao |
College of Information Science and Engineering
Ocean University of China, Qingdao, Shandong 266100, China
| Tongxing Li |
School of Control Science and Engineering
Shandong University, Jinan, Shandong 250061, China
|Shuhong Tang |
School of Information and Control Engineering
Weifang University, Weifang, Shandong 261061, China
| Ethiraju Thandapani |
Ramanujan Institute for Advanced Study in Mathematics
University of Madras, Chennai, India
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