Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 493927, 29 pages
doi:10.1155/2010/493927
Research Article

Oscillations of Second-Order Neutral Impulsive Differential Equations

Jin-Fa Cheng1 and Yu-Ming Chu2

1School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 2 January 2010; Revised 26 February 2010; Accepted 28 February 2010

Academic Editor: Alberto Cabada

Copyright © 2010 Jin-Fa Cheng and Yu-Ming Chu. 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

Necessary and sufficient conditions are established for oscillation of second-order neutral impulsive differential equation [y(t)+py(t-τ)]′′+qy(t-σ)=0, t≠tk, Δ(y′(tk)+py′(tk-τ))+q1y(tk-σ)=0, where the coefficients q,q1>0; p<0, τ,σ<0, and Δy(i)(tk)=y(i)(tk+)-y(i)(tk-), i=0,1.