利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。

This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones.

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通过使用不动点指数定理，我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。

We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.

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建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。

Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.

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