用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。

By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.

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针对拟谱方法在极坐标下遇到的坐标奇异以及压力边界条件难处理等问题，提出了一种新的基于极坐标系下的拟谱方法。

A new pseudo-spectral method based on polar coordinate system was presented to resolve the difficulty in the coordinate singularity and treatment of pressure boundary conditions.

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本文将边界奇异权方法运用于EFGM中，实现了本质边界条件在节点处的精确施加。

In this paper the boundary singular kernel method is used in EFGM to impose the essential boundary conditions exactly.

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