Jiang, Daqing Multiple positive solutions to singular boundary value problems for superlinear second-order FDEs. (English) Zbl 0963.34060 Ann. Pol. Math. 75, No. 3, 257-270 (2000). Summary: The author studies the existence of positive solutions to the singular boundary value problem for a second-order FDE \[ u'' + q(t) f(t,u(w(t))) = 0,\quad \text{for almost all }0<t<1, \]\[ u(t) = \xi(t),\quad a \leq t \leq 0, \qquad u(t) = \eta(t),\quad 1 \leq t \leq b, \] where \(q(t)\) may be singular at \( t=0\) and \( t=1\), \(f(t,u)\) may be superlinear at \(u=\infty\) and singular at \(u=0\). Cited in 1 Document MSC: 34K10 Boundary value problems for functional-differential equations 34K12 Growth, boundedness, comparison of solutions to functional-differential equations 34K26 Singular perturbations of functional-differential equations Keywords:singular boundary value problem; existence; superlinear; fixed-point theorem PDFBibTeX XMLCite \textit{D. Jiang}, Ann. Pol. Math. 75, No. 3, 257--270 (2000; Zbl 0963.34060) Full Text: DOI EuDML