Space of ω-Periodic Limit Functions and Its Applications to an Abstract Cauchy Problem

الملخص EN

We introduce a new space consisting of what we call ω-periodic limit functions.

We investigate some properties of the new function space.

In particular, we study inclusion relations among asymptotically periodic type function spaces.

Finally, we apply the ω-periodic limit functions to investigate the existence and uniqueness of asymptotically ω-periodic mild solutions of an abstract Cauchy problem.