In this article, several new oscillation theorems for n-th-order neutral dynamic equations with mixed nonlinearities are established. Our work extends some known results in the literature on second-order, third-order, and higher-order linear and half-linear dynamic equations. Two examples are provided to illustrate the relevance of the new theorems.
Submitted August 26, 2015. Published January 8, 2016.
Math Subject Classifications: 34N05, 34K40, 34K11.
Key Words: Neutral dynamic equation; oscillation; mixed nonlinearities; generalized Riccati technique.
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| Xian-Yong Huang |
School of Mathematics and Computational Science
Sun Yat-sen University
Guangzhou 510275, China
Phone: +86 13602456482
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