On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function.

The fundamental goal of this paper is to investigate the existence of mild solutions for a certain type of partial functional integrodifferential equations with infinite state-dependent delays. The results are established under a non-continuous state-dependent delay function, which extends the existing results that employ a continuous one. In order to achieve this, we apply resolvent operator theory and the concept of regulated functions. Finally, we present an illustrated example to provide practical context for the abstract results. [ABSTRACT FROM AUTHOR]