Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions
We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x′′(s))ds, x′′′(1)=0, where f∈C([0,1]×ℝ4), h∈C([0,...
Main Authors: | Hui Li, Libo Wang, Minghe Pei |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/782363 |
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