Multiple positive solutions to n-component coupled system of iterative systems on time scales

Abstract.

This study explores advances in detecting positive solutions for second order
-component coupled system of iterative systems with two-point boundary conditions on time scales. In this system, each component
interacts with both itself and the next component in a cyclic manner. We establish criteria for existence of at least one positive solution using Guo–Krasnosel’skii fixed point theorem and at least three positive solutions utilizing Ren-Ge-Ren fixed point theorem.