Zhou, Yunming; Su, Hua Positive solutions of four-point boundary-value problems for higher-order with \(p\)-Laplacian operator. (English) Zbl 1118.34021 Electron. J. Differ. Equ. 2007, Paper No. 05, 14 p. (2007). Summary: We study the existence of positive solutions for nonlinear four-point singular boundary-value problems for higher-order equation with the \(p\)-Laplacian operator. Using the fixed-point index theory, we find conditions for the existence of one solution, and of multiple solutions. Cited in 2 Documents MSC: 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations Keywords:Higher-order p-Laplacian operator; positive solutions; singular boundary-value; fixed-point index theory PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Su}, Electron. J. Differ. Equ. 2007, Paper No. 05, 14 p. (2007; Zbl 1118.34021) Full Text: EuDML EMIS