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.

利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。

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This paper discuss the locally topological structure of higher order singular point for the plane cubic system in the first critical case and give a criterion by the coefficients of polynomials.

讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。

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In this paper, we present a method for solving a class of singular second order two-point boundary value problems.

讨论了一类二阶奇异两点边值问题的一种求解方法。

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