EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR A n-TH ORDER THREE-POINT BOUNDARY VALUE PROBLEM
The purpose of this paper is to establish some results on the existence and nonexistence of positive solutions for a type of nonlinear n-th order three-point boundary value problems. The main tool is a fixed point theorem of the cone expansion and compression of functional type due to Avery, Anderson, and O'Regan. Some examples are presented to illustrate the availability of the main results.
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