Zhang, Mingchuan; Kong, Xianfu; Shao, Hanyong Positive solutions to a class of fourth-order superlinear singular boundary value problems. (Chinese. English summary) Zbl 0995.34015 J. Qufu Norm. Univ., Nat. Sci. 28, No. 1, 13-17 (2002). Summary: Here, the authors give a necessary and sufficient condition for the existence of \(C^3[0,1]\) positive solutions to fourth-order superlinear boundary value problems by using the fixed-point theorems on cones, and gain the existence of \(C^2[0,1]\) positive solutions when the condition is weakened further. MSC: 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations Keywords:positive solutions; fourth-order superlinear boundary value problems PDF BibTeX XML Cite \textit{M. Zhang} et al., J. Qufu Norm. Univ., Nat. Sci. 28, No. 1, 13--17 (2002; Zbl 0995.34015)