Copyright © 2010 He Yang. 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 constructing a mixed monotone iterative technique under a new concept of
upper and lower solutions, some existence theorems of mild -periodic (-quasi) solutions for abstract impulsive evolution equations are obtained in ordered Banach spaces. These results partially generalize
and extend the relevant results in ordinary differential equations and partial differential equations.