一类半无穷区间奇异边值问题正解的存在性

Existence of Positive Solutions for a Singular Boundary Value Problem on the Half-line

在半无穷区间上讨论带有非齐次边界条件的奇异边值问题正解的存在性,多解性及不存在性.主要结果的证明基于上下解方法,Schauder不动点定理及拓扑度理论.

In this paper, we study the existence, multiplicity and nonexistence of positive solution of singular boundary value problem on the half-line with nonhomogeneous boundary conditions. The proof of our main result is based upon lower and upper solutions method, Schauder＇s fixed point theorem and topological degree theory.