S-Shaped Connected Component for Nonlinear Fourth-Order Problem of Elastic Beam Equation
We investigate the existence of S-shaped connected component in the set of positive solutions of the fourth-order boundary value problem: u′′′′x=λhxfux, x∈(0,1),u(0)=u(1)=u′′0=u′′1=0, where λ>0 is a parameter, h∈C[0,1], and f∈C[0,∞) with f0≔lims→0(f(s)/s)=∞. We develop a bifurcation approach to...
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Main Authors: | Jinxiang Wang, Ruyun Ma, Jin Wen |
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Format: | Article |
Language: | English |
Published: |
Wiley
2017-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2017/1069491 |
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