Boundary Value Problems
Volume 2008 (2008), Article ID 864297, 18 pages
doi:10.1155/2008/864297
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
Abstract
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.