Abstract and Applied Analysis
Volume 2012 (2012), Article ID 569201, 11 pages
http://dx.doi.org/10.1155/2012/569201
Research Article

Oscillation of Third-Order Neutral Delay Differential Equations

Tongxing Li,1,2 Chenghui Zhang,1 and Guojing Xing1

1School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China
2School of Mathematical Science, University of Jinan, Shandong 250022, China

Received 8 July 2011; Revised 29 October 2011; Accepted 1 November 2011

Academic Editor: P. J. Y. Wong

Copyright © 2012 Tongxing Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreover, some examples are given to illustrate the main results.