Existence of Solutions for a Weighted -Laplacian Impulsive Integrodifferential System with Multipoint and Integral Boundary Value Conditions

摘要

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.