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Abstract and Applied Analysis
Volume 2012, Article ID 351709, 23 pages
Research Article

Interval Oscillation Criteria of Second Order Mixed Nonlinear Impulsive Differential Equations with Delay

1Department of Mathematics, Xinzhou Teachers University, Shanxi, Xinzhou 034000, China
2Department of Mathematics, Guangdong Ocean University, Guangdong, Zhanjiang 524088, China
3Department of Mathematics, Hechi University, Guangxi, Yizhou 546300, China

Received 19 December 2011; Revised 10 April 2012; Accepted 11 April 2012

Academic Editor: Agacik Zafer

Copyright © 2012 Zhonghai Guo 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.


We study the following second order mixed nonlinear impulsive differential equations with delay , where , is a nonnegative constant, denotes the impulsive moments sequence, and . Some sufficient conditions for the interval oscillation criteria of the equations are obtained. The results obtained generalize and improve earlier ones. Two examples are considered to illustrate the main results.