Positive Solution of Fourth‐Order Integral Boundary Value Problem with Two Parameters

Guoqing Chai

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: The author investigates the fourth‐order integral boundary value problem with two parameters u(4)(t)+βu′′(t)-αu(t)=f(t,u),t∈(0,101001), u()=u()=, u′′()=∫01u(s)ϕ1(s)ds,u′′()=∫01u(s)ϕ2(s)ds, where nonlinear term function f is allowed to change sign. Applying the fixed point index theorem on cone together with the operator spectrum theorem, some results on the existence of positive solution are obtained.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:859497

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