On an nth‐order infinitesimal generator and time‐dependent operator differential equation with a strongly almost periodic solution
Aribindi Satyanarayan Rao · International Journal of Mathematics and Mathematical Sciences · 2002
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.