International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 9, Pages 573-578
doi:10.1155/S0161171202108295

On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution

Abstract

In a Banach space, if u is a Stepanov almost periodic solution of a certain nth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u,u′,…,u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic.