Existence of Positive Solutions for Nonlinear Third-Order Boundary Value Problem

We are concerned with the existence of positive solutions for the nonlinear third-order three-point boundary value problem u′′′(t)+λg(t)f(u(t))=0, 0<t<1, u(0)=αu(η), u′(0)=u′′(1)=0, where 0<η<1, 0<α<1, λ is a positive parameter, g:(0,1)→[0,∞),   and  f:[0,∞)→[0,∞) is continuous. We...

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Bibliographic Details
Main Authors: Tiaoxia Dun, Pengyu Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/951947