Chu, Jifeng; O’Regan, Donal Positive solutions for regular and singular fourth-order boundary value problems. (English) Zbl 1123.34015 Commun. Appl. Anal. 10, No. 2-3, 185-199 (2006). 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. Cited in 11 Documents MSC: 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations PDFBibTeX XMLCite \textit{J. Chu} and \textit{D. O'Regan}, Commun. Appl. Anal. 10, No. 2--3, 185--199 (2006; Zbl 1123.34015)