P-periodic solutions of a q-integral equation with finite delay

Abstract

. A Volterra type integral equation with a fi nite delay is considered on a discrete non- additive time scale domain q N 0 = { q n : n ∈ N 0 } , where k ∈ N , q > 1. The existence of periodic solutions of this equation, which we call a q -integral equation, are shown employing the con- traction mapping principle and a fi xed point theorem due to Krasnosel’skii.