University of Guilan Journal of Mathematical Modeling 2345-394X 14 1 2026 03 01 Boundary value problems for singular iterative dynamic equations on time scales 57 74 9038 10.22124/jmm.2025.28778.2559 EN Mulukuri Venkata Ramakrishna Department of Mathematics, Govt. Degree College, Sabbavaram, Anakapalli, 531035, India ⁠Shaik Kalesha Vali JNTU Vizianagaram, AP, India Mahammad Khuddush Andhra University Journal Article 2024 10 23 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 Existence criteria BVP Banach space heat transfer Composite Materials https://jmm.guilan.ac.ir/article_9038_e45dfbe208719c17af48bf81c2877833.pdf