Copyright © 2010 Rong Dong 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.
By the Leray-Schauder's degree, the existence of solutions for a weighted
-Laplacian impulsive integro-differential system with multi-point and integral boundary
value conditions is considered. The sufficient results for the existence are given under
the resonance and nonresonance cases, respectively. Moreover, we get the existence of
nonnegative solutions at nonresonance.