Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems
Keyword(s):
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 conditionsu(0)=u(1)=u'(0)=u'(1)=0, whereσ∈(-1,1)andais a nonnegative continuous function on (0, 1) that may be singular atx=0orx=1. We also give the global behavior of such a solution.
2008 ◽
Vol 203
(1)
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pp. 194-201
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1988 ◽
Vol 11
(2)
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pp. 275-284
2011 ◽
Vol 2
(3)
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pp. 43-50
2012 ◽
Vol 15
(3)
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2011 ◽
Vol 27
(10)
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pp. 2073-2084
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2013 ◽
Vol 2013
(1)
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pp. 266
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2008 ◽
Vol 206
(1)
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pp. 245-256
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2013 ◽
Vol 43
(4)
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pp. 1161-1180
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