摘要：This paper is concerned with the existence of mild solutions to impulsive differential equations with nonlocal conditions. We firstly establish a property of the measure of noncompactness in the space of piecewise continuous functions. Then, by applying this property and Darbo-Sadovskii’s fixed point theorem, we get the existence results of impulsive differential equations in a unified way under compactness conditions, Lipschitz conditions and mixed-type conditions, respectively. MSC:34K30, 34G20.
关键词：impulsive conditions ; nonlocal conditions ; Hausdorff measure of noncompactness ; fixed point theorem
