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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Bibliographic Details
Main Authors: Bing-Wei Niu, Jian-Ping Sun, Qiu-Yan Ren
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/491423
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