Boundary value problems for singular iterative dynamic equations on time scales

This study explores an iterative system of singular three-point boundary value problems within the context of time scales. The objective is to identify conditions that guarantee the existence of countable positive solutions. The research employs Holder’s inequality and Krasnoselskii’s cone fixed point theorem, set within a Banach space framework, to derive the necessary criteria. The theoretical findings are illustrated through a practical example, highlighting the sufficiency of the derived conditions for ensuring multiple positive solutions

کلیدواژه ها:

Existence criteria ، BVP ، Banach space ، heat transfer ، Composite Materials