Asymptotically periodic solutions of Volterra integral equations

Abstract

We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay. Schauder's fixed point theorem is used in the analysis.

Keywords

• Volterra integral equation
• asymptotically periodic solution
• periodic solution
• Schauder's fixed point theorem