Existence and uniqueness of positive almost periodic solutions for systems of nonlinear delay integral equations

Abstract

This article shows the existence and uniqueness of positive almost periodic solutions for some systems of nonlinear delay integral equations. After constructing a new fixed point theorem in the cone, which extend some existing results even in the case of scalar version, we apply it to a model of the evolution in time of two species in interaction.

Keywords

• Almost periodic solutions
• nonlinear delay integral systems
• iterative sequences