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

Aribindi Satyanarayan Rao

 Department of Computer Science, Vanier College, 821 Avenue Ste-Croix, St-Laurent, Quebec H4L 3X9, Canada
Received 7 August 2001

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.