Existence and uniqueness of periodic solutions for a system of differential equations via operator methods

Abstract This article investigates the existence and uniqueness of periodic solutions for a new system of differential equations. By employing fixed point theorems for increasing φ- $(h,\tau )$ (h,τ) -concave operators, we establish the existence of unique periodic solution for our differential system and then give a monotone iterative scheme to approximate the unique periodic solution. Some examples are presented in the end to illustrate the validity of our main results.