## Abstract and Applied Analysis

### Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem

#### Abstract

This paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. The existence results are obtained by applying a fixed point theorem of cone expansion and compression of functional type due to Avery, Henderson, and O’Regan.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 513051, 7 pages.

Dates
First available in Project Euclid: 26 March 2014

https://projecteuclid.org/euclid.aaa/1395858520

Digital Object Identifier
doi:10.1155/2014/513051

Mathematical Reviews number (MathSciNet)
MR3198156

Zentralblatt MATH identifier
07022524

#### Citation

Sun, Yongping; Sun, Qian; Zhang, Xiaoping. Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem. Abstr. Appl. Anal. 2014 (2014), Article ID 513051, 7 pages. doi:10.1155/2014/513051. https://projecteuclid.org/euclid.aaa/1395858520

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