Abstract
In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on $${[0, \infty)}$$ and the existence of $${\mathcal{S}}$$ -asymptotically $${\omega}$$ -periodic mild solutions. Our results are based on the Hausdorff measure of non-compactness. Some applications involving partial differential equations are considered.
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