%0 Journal Article %T Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions %A Long Wei %A Ding Hui-Sheng %J Advances in Difference Equations %D 2011 %I Springer %X We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost periodic solutions to a class of abstract semilinear evolution equation in a Banach space. Our results complement a recent work due to Diagana (2008). %U http://www.advancesindifferenceequations.com/content/2011/654695