Infante, Gennaro; Pietramala, Paolamaria A third order boundary value problem subject to nonlinear boundary conditions. (English) Zbl 1224.34036 Math. Bohem. 135, No. 2, 113-121 (2010). Summary: Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear. Cited in 31 Documents MSC: 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:positive solution; nonlinear boundary condition; third order problem; cone; fixed point index PDFBibTeX XMLCite \textit{G. Infante} and \textit{P. Pietramala}, Math. Bohem. 135, No. 2, 113--121 (2010; Zbl 1224.34036) Full Text: EuDML