Advances in Difference Equations
Volume 2010 (2010), Article ID 354841, 52 pages
doi:10.1155/2010/354841
Review Article

A Survey on Oscillation of Impulsive Ordinary Differential Equations

Ravi P. Agarwal,1,2 Fatma Karakoç,3 and Ağacık Zafer4

1Department of Mathematical Sciences, FL Institute of Technology, Melbourne, FL 32901, USA
2Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
3Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Ankara, Turkey
4Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey

Received 1 December 2009; Accepted 3 March 2010

Academic Editor: Leonid Berezansky

Copyright © 2010 Ravi P. Agarwal 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

This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several oscillation criteria are given. The Sturmian comparison theory for linear and half linear equations is also included.