Boundary Value Problems
Volume 2008 (2008), Article ID 864297, 18 pages
Research Article

On the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditions

Yepeng Xing1 and Valery Romanovski2

1Department of Applied Mathematics, Shanghai Normal University, Shangha 200234, China
2Center for Applied Mathematics and Theoretical Physics, University of Maribor, SI-2000 Maribor, Slovenia

Received 3 July 2008; Accepted 10 November 2008

Academic Editor: Colin Rogers

Copyright © 2008 Yepeng Xing and Valery Romanovski. 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 prove existence results for second-order impulsive differential equations with antiperiodic boundary value conditions in the presence of classical fixed point theorems. We also obtain the expression of Green's function of related linear operator in the space of piecewise continuous functions.