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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/657926 |