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By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation. 利用錐上的混郃單調(diào)算子不動(dòng)點(diǎn)定理，本文研究了一類四堦奇異非線性微分方程的邊值問(wèn)題，即一類彈性梁方程問(wèn)題。