Existence of Positive Solution for Multi-Point Sturm-Liouville Boundary Value Problem

Xian Rui Meng; Na Na Li; Yu Xia Tong

doi:10.4028/www.scientific.net/AMM.50-51.704

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 50-51Existence of Positive Solution for Multi-Point...

Existence of Positive Solution for Multi-Point Sturm-Liouville Boundary Value Problem

Abstract:

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.

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Periodical:

Applied Mechanics and Materials (Volumes 50-51)

Pages:

704-708

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.50-51.704

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Online since:

February 2011

Authors:

Xian Rui Meng, Na Na Li, Yu Xia Tong

Keywords:

Boundary Value Problem, Cone, Positive Solution

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