Existence Results of S - asymptotically r - periodic Mild Solutions to Some Integrodifferential Equations

摘要

In this paper we study the existence of S-asymptotically r-periodic mild solutions to an abstract integrodifferential equation with nonlocal conditions in a Banach space X using the Krasnoselskii's fixed point theorem. Our results are new even in the context of asymptotically r-periodic functions.