Existence of positive solutions to second-order time scale systems

In this paper, the author consider the following dynamic system on a measure chain, satisfying Sturm-Liouville boundary conditions, Some new results are obtained for the existence of single, twin, and triple positive solutions of the above system by using nonlinear alternative of Leray-Schauder type, Krasnoselʹskiiʹs fixed-point theorem in a cone and Leggett-Williams fixed-point theorem.