Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain

Abstract

By the weighted ergodic function based on the measure theory, we study pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain. The existence and uniqueness of $\mu$-pseudo antiperiodic ($\mu$-pseudo periodic, $\mu$-pseudo almost periodic, and $\mu$-pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.