Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter

<p/> <p>By using the Krasnoselskii's fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter <inline-formula> <graphic file="1687-1812-2011-604046-i1.gif"/&...

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Bibliographic Details
Main Authors: Han Xiaoling, Gao Hongliang, Xu Jia
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/604046
Description
Summary:<p/> <p>By using the Krasnoselskii's fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter <inline-formula> <graphic file="1687-1812-2011-604046-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i4.gif"/></inline-formula> is considered, where <inline-formula> <graphic file="1687-1812-2011-604046-i5.gif"/></inline-formula> is a parameter, and <inline-formula> <graphic file="1687-1812-2011-604046-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i7.gif"/></inline-formula>.</p>
ISSN:1687-1820
1687-1812