Sci Math | Existence of positive solutions for a multi-point four-order boundary-value problem

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Existence of positive solutions for a multi-point four-order boundary-value problem

Authors: Lê Xuân Trường, Phan Dinh Phung,

https://ejde.math.txstate.edu/Volumes/2011/129/le.pdf

Publisher, magazine: ,

Publication year: 2011

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Abstract

The article shows sufficient conditions for the existence of positive solutions to a multi-point boundary-value problem for a fourth-order differential equation. Our main tools are the Guo-Krasnoselskii fixed point theorem and the monotone iterative technique. We also show that the set of positive solutions is compact.

Tags: Multi point; boundary value problem; Green function; positive solution; Guo-Krasnoselskii fixed point theorem

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