We prove the existence of solutions for a second-order nonlinear impulsive boundary-value problem by applying Schaefer's fixed point theorem. Results for periodic and anti-periodic impulsive boundary-value problems can be obtained as special cases of the results in this article.
Submitted October 13, 2008. Published May 19, 2009.
Math Subject Classifications: 34B10, 34B15.
Key Words: Impulsive differential equations; Schaefer's theorem; periodic and anti-periodic boundary conditions; existence of solutions.
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| Bashir Ahmad |
Department of Mathematics, Faculty of Science
King Abdulaziz University
P.O. Box. 80203, Jeddah 21589, Saudi Arabia
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