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In this study, we present the existence result for the the second order m -point boundary value problems on infinite time scales. Nagumo condition, lower and upper solutions play an important role in the arguments. [ABSTRACT FROM AUTHOR]

Let T ⊆ R be a time scale. The purpose of this paper is to present sufficient conditions for the existence of multiple positive solutions of the following Lidstone boundary value problem on time scales: (− 1) n y Δ (2 n) (t) = f (t , y (t)) , t ∈ [ a , b ] T , y Δ (2 i) (a) = y Δ (2 i) (σ 2 n − 2 i (b)) = 0 , i = 0 , 1 , ... , n − 1. Existence of multiple positive solutions is established using fixed point methods. At the end some examples are also given to illustrate our results. [ABSTRACT FROM AUTHOR]