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Zbl 1123.34015
Chu, Jifeng; O'Regan, Donal
Positive solutions for regular and singular fourth-order boundary value problems.
(English)
[J] Commun. Appl. Anal. 10, No. 2-3, 185-199 (2006). ISSN 1083-2564

Summary: By applying well-known fixed point theorems in cones, we study the existence of positive solutions for fourth-order boundary value problem $x^{(4)}(t)+\beta x''(t)=f(t,x)$, $0<t<1$ with $x(0)=x(1)=x''(0)=x''(1) =0$, where $0<\beta<\pi^2$. We discuss both the singular case and the regular case.
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems
34B16 Singular nonlinear boundary value problems

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