In this paper, we consider the three-point boundary value problem(op(u′′(t)))′+a(t)f(t, u(t), u′(t), u′′(t)) = 0, t ∈ [0, 1] subject to the boundary conditions u(0) =βu′(0), u′(1) = αu′(η), u′′(0) = 0, where op(s) = |s|p-2s with p > 1, 0 < α, η < 1and 0 ≤β < 1. Applying a fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem.
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