一类奇异非线性Sturm-Liouville方程边值问题正解的存在性

The Existence of Positive Solutions to a Class of Singular Nonlinear Sturm-Liouville Boundary Value Problems

通过构造适当的Banach空间及其正锥,以及应用不动点指数定理和锥不动点定理,讨论了一类二阶奇异非线性Sturm-Liouville边值问题两个正解的存在性.

In this paper,we discussed the existence of two positive solutions for a class of second-order singular nonlinear Sturm-Liouville boundary value problems,by constructing a suitable Banach space and its positive cones,and applying the fixed point index theorems and the cone fixed point theorems.