Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives

By using a fixed point theorem in a cone and the nonlocal third-order BVP's Green function, the existence of at least one positive solution for the third-order boundary-value problem with the integral boundary conditions x′′′(t)+f(t,x(t),x′(t))=0, t∈J, x(0)=0, x′′(0)=0, and x(1)=∫01g(t)x(t)dt i...

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Bibliographic Details
Main Authors: Yanping Guo, Fei Yang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/721909
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