Positive Solutions for Second-Order Three-Point Eigenvalue Problems

With the help of the fixed point index theorem in cones, we get an existence theorem concerning the existence of positive solution for a second-order three-point eigenvalue problem x′′(t)+λf(t,x(t))=0,  0≤t≤1,  x(0)=0,  x(1)=x(η), where λ is a parameter. An illustrative example is given to demonstra...

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Bibliographic Details
Main Author: Chuanzhi Bai
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/236826
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