Solvability of infinite system of third-order differential equations in the sequence space c using Meir–Keeler condensing operator

In this paper, we present an existence result for ω-periodic solutions for an infinite system of third-order differential equations in a classical Banach sequence space c. This result is obtained using techniques related to measures of noncompactness together with the concept of Meir–Keeler condensing operators, considering the respective Green’s function corresponding to the system. To illustrate the significance of our results, we provide some concrete examples.