TITLE:
The Existence and Uniqueness of Positive Solutions for a Singular Nonlinear Three-Point Boundary Value Problems
AUTHORS:
Yao Dong, Baoqiang Yan
KEYWORDS:
Three-Point Boundary Value Problem, Positive Solution, Lower and Upper Solutions, Eigenvalue and Eigenfunction
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.12,
December
26,
2018
ABSTRACT: Using the method of lower and upper solutions, we study the following singular nonlinear three-point boundary value problems: , where K ∈ C[0,1] ,0 α η λ is a positive parameter and present the existence, uniqueness, and the dependency on parameters of the positive solutions under various assumptions. Our result improves those in the previous literatures.