Boundary Value Problems
Volume 2008 (2008), Article ID 864297, 18 pages
On the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditions
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.