Xian-Yong Huang
Abstract:
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 email: huangxianyong@gdei.edu.cn |
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