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

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 posit...

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Bibliographic Details
Main Authors: Le Xuan Truong, Phan Dinh Phung
Format: Article
Language:English
Published: Texas State University 2011-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/129/abstr.html
Description
Summary: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.
ISSN:1072-6691