Ma, Ruyun Positive solutions of a nonlinear three-point boundary-value problem. (English) Zbl 0926.34009 Electron. J. Differ. Equ. 1999, Paper No. 34, 8 p. (1999). Summary: The author studies the existence of positive solutions to the boundary value problem \[ u''+a(t)f(u)=0,\quad t\in (0,1), \qquad u(0)=0,\quad\alpha u(\eta)=u(1) , \] with \(0<\eta<1\) and \(0<\alpha<1/\eta\). He shows the existence of at least one positive solution if \(f\) is either superlinear or sublinear by applying a fixed point theorem in cones. Cited in 5 ReviewsCited in 51 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:second-order multi-point boundary value problems; cone; fixed point PDFBibTeX XMLCite \textit{R. Ma}, Electron. J. Differ. Equ. 1999, Paper No. 34, 8 p. (1999; Zbl 0926.34009) Full Text: EuDML EMIS