Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions ✩

concern is a class of abstract semilinear integrodifferential equations with nonlocal initial conditions. Under some suitable hypotheses, we establish some new theorems about the existence of asymptotically almost automorphic solutions to the integrodifferential equations. Moreover, an example is given to illustrate our results. © 2007 Elsevier Inc. All rights reserved.