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Existence and nonexistence of positive solutions for a higher-order three-point boundary value problem

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Authors
Sun, Yongping
Sun, Qian
Zhang, Xiaoping
Date
2014
Type
Journal Article

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Sun, Yongping and Sun, Qian and Zhang, Xiaoping. 2014. Existence and nonexistence of positive solutions for a higher-order three-point boundary value problem. Abstract and Applied Analysis. Article ID 513051 (7p).
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Abstract and Applied Analysis
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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.