Ren, Lishun; Wang, Zhiguo Existence of multiple positive solutions for three point boundary value problems. (English) Zbl 1150.34364 Chin. Q. J. Math. 22, No. 3, 406-411 (2007). Summary: Using a fixed theorem in cones, the authors prove the existence of multiple positive solutions to the following boundary value problem \[ \begin{aligned} & u''+a (t)f (u)=0, t\in [0, 1], \\&u (0)=0, \alpha u (\eta) =u (1). \end{aligned} \] MSC: 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:second order three point boundary value problems; positive solution; cone; existence PDF BibTeX XML Cite \textit{L. Ren} and \textit{Z. Wang}, Chin. Q. J. Math. 22, No. 3, 406--411 (2007; Zbl 1150.34364)