摘要
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.
出处
《应用泛函分析学报》
CSCD
2012年第3期225-233,共9页
Acta Analysis Functionalis Applicata
关键词
非齐次边界条件
半无穷区间奇异边值问题
拓扑度理论
上下解方法
存在性
nonhomogeneous boundary conditions
singular boundary value problem on the halfline
topological degree theory
lower and upper solutions method
existence