Two Positive Solutions of Third-Order BVP with Integral Boundary Condition and Sign-Changing Green's Function
We are concerned with the following third-order boundary value problem with integral boundary condition: u′′′(t)=f(t,u(t)), t∈[0,1], u′(0)=u(1)=0, u′′(η)+∫αβu(t)dt=0, where 1/2<α≤β≤1, α+β≤4/3, and η∈(1/2,α]. Although the corresponding Green's function is sign-changing, we still obtain...
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Main Authors: | Bing-Wei Niu, Jian-Ping Sun, Qiu-Yan Ren |
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Format: | Article |
Language: | English |
Published: |
Wiley
2015-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2015/491423 |
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