Infinitely many positive solutions for an iterative system of singular BVP on time scales

Abstract

In this paper, we consider an iterative system of singular two-point boundary value problems on time scales. By applying H¨older’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finally, we provide an example to check the validity of our obtained results.