Measure Pseudoasymptotically Bloch Periodic Functions in the Sense of Stepanov and Their Applications

We focus on the measures of Stepanov-like pseudoasymptotically Bloch τ-periodicity and its applications. First, we define a new notion of measures for Stepanov-like pseudoasymptotically Bloch periodic functions and discuss some of its fundamental properties. Then the obtained results are used to investigate the existence and uniqueness of the measure Stepanov-like pseudoasymptotically Bloch periodic mild solutions to semilinear delay differential equations in Banach spaces. Finally, an application is presented to illustrate the efficiency of the obtained results.