Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems

We establish the existence and uniqueness of a positive solution to the following fourth-order value problem: u(4)(x)=a(x)uσ(x), x∈(0,1) with the boundary conditions u(0)=u(1)=u'(0)=u'(1)=0, where σ∈(-1,1) and a is a nonnegative continuous function on (0, 1) that may be singular at x=0 or...

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Bibliographic Details
Main Author: Ramzi S. Alsaedi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/657926
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