We study the existence of positive solutions to the boundary-value problem u + a t f u = 0 t∈ 0 1where ξ i ∈ 0 1 with 0 < ξ 1 < ξ 2 < · · · < ξ m−2 < 1 a i b i ∈ 0 ∞ with 0 < m−2 i=1 a i < 1, and m−2 i=1 b i < 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
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