We study a general second-order m-point boundary value problems for nonlinear singular impulsive dynamic equations on time scales u~(Δ?)(t)+a(t)u~Δ(t) + b(t)u(t) + q(t)f(t, u(t)) = 0, t ∈ (0, 1), t≠t_k,u~Δ (t_k~+) = u~Δ(t_k) -I_k(u(t_k)), and k = 1, 2,...,n,u(ρ(0)) =0,u(σ(1)) = Σ_(i=1)~(m?2)α_iu(η_i). The existence and uniqueness of positive solutions are established by using the mixed monotone fixed point theorem on cone and Krasnosel'skii fixed point theorem. In this paper, the function items may be singular in its dependent variable.We present examples to illustrate our results.
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