In this paper, we first study further properties of S-asymptotically $\omega$-periodic functions taking values in Banach spaces including a theorem of composition. Then we apply the results obtained to study the existence and uniqueness of S-asymptotically $\omega$-periodic mild solutions to a nonautonomous semilinear differential equation.
"S-Asymptotically $\omega$-Periodic Functions and Applications to Evolution Equations." Afr. Diaspora J. Math. (N.S.) 12 (2) 113 - 121, 2011.