Existence of Positive Solution for Multi-Point Sturm-Liouville Boundary Value Problem
Multi-point boundary value problem is studied in this paper. With the condition that nonlinear term is superlinear or sublinear, it is proved that there exists at least one positive solution to multi-point Sturm-Liouville boundary value problem by using the fixed-point theorem concerning cone expansion and compression of norm type.
Shaobo Zhong, Yimin Cheng and Xilong Qu
X. R. Meng et al., "Existence of Positive Solution for Multi-Point Sturm-Liouville Boundary Value Problem", Applied Mechanics and Materials, Vols. 50-51, pp. 704-708, 2011