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De Coster, C. and Habets, P. (2004) The Lower and Upper Solutions Method for Boundary Value Problems. Handbook of Differential Equations, Ordinary Differential Equations, 1, 69-160.

has been cited by the following article:

• 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.