Positive Solution of Fourth-Order Integral Boundary Value Problem with Two Parameters
The author investigates the fourth-order integral boundary value problem with two parameters u(4)(t)+βu′′(t)-αu(t)=f(t,u),t∈(0,1), u(0)=u(1)=0, u′′(0)=∫01u(s)ϕ1(s)ds,u′′(1)=∫01u(s)ϕ2(s)ds, where nonlinear term function f is allowed to change sign. Applying the fixed point index theorem on cone tog...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/859497 |