Pseudo S-asymptotically antiperiodic solutions to Volterra difference equations with infinite delay

Abstract

In this paper, we firstly present notions and basic properties of m-(weighted) pseudo S-asymptotically ω-antiperiodic sequence and ∞-(weighted) pseudo S-asymptotically
ω-antiperiodic sequence, which are applicable to the investigation of delayed difference equations. We secondly show some existence and uniqueness of pseudo S-asymptotically ω-antiperiodic solutions to Volterra difference equation with infinite delay as an application
of aforementioned sequences.