Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 150163, 9 pages
doi:10.1155/2008/150163
On the nonoscillation of second-order neutral delay differential equation with forcing term
Jin-Zhu Zhang1
, Zhen Jin2
, Tie-Xiong Su1
, Jian-Jun Wang4
, Zhi-Yu Zhang4
and Ju-Rang Yan6
1School of Mechantronic Engineering, North University of China, Taiyuan 030051, China
2Department of Mathematics, North University of China, Taiyuan 030051, China
4Department of Basic Science, Taiyuan Institute of Technology, Taiyuan 030008, China
6Department of Mathematics, Shanxi University, Taiyuan 030006, China
Abstract
This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established. The criteria obtained in this paper complement and extend several known results in the literature. Some examples illustrating our main results are given.