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中文摘要：
通过构造一个特殊的非空凸闭集,利用Moench不动点定理在有关相应线性算子的第一特征值的条件下,得到了Banach空间中具有积分边值条件的四阶奇异微分方程正解的存在性.
英文摘要：
By constructing a special closed convex set and using the Monch fixed-point theorem, the existence of positive solution for fourth-order nonlinear singular differential equations with integral boundary conditions in a Banach space is obtained under some conditions with respect to the first eigenvalue of a linear operator.
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