... point theorem, they established the criteria for the existence of at least three solutions for the dynamic equation 1.1 either with conditions1.4 or with conditions 1.5.More recently, Yaslan ... types of time scales 3–11. On the other hand, alongwith the significant development of the theories, practical applications of dynamic equationson time scales in mathematical modeling of those ... the conditions for the existence of at least two or three positive solutions in these boundary valueproblems by virtue of the Avery-Henderson fixed point theorem and the Leggett-Williamsfixed point theorem...