Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

<p>Abstract</p> <p>By obtaining intervals of the parameter <it>&#955;</it>, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in ab...

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Bibliographic Details
Main Author: Zhang Peiguo
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Subjects:
boundary value problem
positive solution
fixed point theorem
measure of noncompactness
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/1/43
Description
Summary:<p>Abstract</p> <p>By obtaining intervals of the parameter <it>&#955;</it>, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces. The arguments are based upon a specially constructed cone and the fixed point theory in cone for a strict set contraction operator.</p> <p> <b>MSC: </b>34B15; 34B16.</p>
ISSN:1687-1820
1687-1812

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